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Finding the Fourth Proportional to 7,874.02, 10,866.18 and 4,337.22

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Solution

The fourth proportional to 7,874.02, 10,866.18 and 4,337.22 is: 5,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.02 : 10,866.18 = 4,337.22 : x
  2. Step 2: Convert to fraction form
    7,874.02/10,866.18 = 4,337.22/x
  3. Step 3: Cross multiply
    7,874.02x = 10,866.18 × 4,337.22
  4. Step 4: Simplify right side
    7,874.02x = 47,128,991.53
  5. Step 5: Solve for x
    x = 47,128,991.53/7,874.02
  6. Step 6: Final answer
    x = 5,985.38

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Double scale
Find fourth proportional to 7,875.02, 10,867.56 and 4,338.22
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.