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Finding the Fourth Proportional to 6,816.76, 10,223.10 and 2,433.22

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Solution

The fourth proportional to 6,816.76, 10,223.10 and 2,433.22 is: 3,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.76 : 10,223.10 = 2,433.22 : x
  2. Step 2: Convert to fraction form
    6,816.76/10,223.10 = 2,433.22/x
  3. Step 3: Cross multiply
    6,816.76x = 10,223.10 × 2,433.22
  4. Step 4: Simplify right side
    6,816.76x = 24,875,051.38
  5. Step 5: Solve for x
    x = 24,875,051.38/6,816.76
  6. Step 6: Final answer
    x = 3,649.10

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Half scale
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Double scale
Find fourth proportional to 6,817.76, 10,224.60 and 2,434.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.