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Finding the Fourth Proportional to 10,242.54, 15,344.10 and 6,282.24

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Solution

The fourth proportional to 10,242.54, 15,344.10 and 6,282.24 is: 9,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.54 : 15,344.10 = 6,282.24 : x
  2. Step 2: Convert to fraction form
    10,242.54/15,344.10 = 6,282.24/x
  3. Step 3: Cross multiply
    10,242.54x = 15,344.10 × 6,282.24
  4. Step 4: Simplify right side
    10,242.54x = 96,395,318.78
  5. Step 5: Solve for x
    x = 96,395,318.78/10,242.54
  6. Step 6: Final answer
    x = 9,411.27

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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.