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Finding the Fourth Proportional to 6,114.02, 9,171.03 and 2,651

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Solution

The fourth proportional to 6,114.02, 9,171.03 and 2,651 is: 3,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.02 : 9,171.03 = 2,651 : x
  2. Step 2: Convert to fraction form
    6,114.02/9,171.03 = 2,651/x
  3. Step 3: Cross multiply
    6,114.02x = 9,171.03 × 2,651
  4. Step 4: Simplify right side
    6,114.02x = 24,312,400.53
  5. Step 5: Solve for x
    x = 24,312,400.53/6,114.02
  6. Step 6: Final answer
    x = 3,976.50

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Half scale
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Double scale
Find fourth proportional to 6,115.02, 9,172.53 and 2,652
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.