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Finding the Fourth Proportional to 15,754.71, 23,627.94 and 7,432.53

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Solution

The fourth proportional to 15,754.71, 23,627.94 and 7,432.53 is: 11,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.71 : 23,627.94 = 7,432.53 : x
  2. Step 2: Convert to fraction form
    15,754.71/23,627.94 = 7,432.53/x
  3. Step 3: Cross multiply
    15,754.71x = 23,627.94 × 7,432.53
  4. Step 4: Simplify right side
    15,754.71x = 175,615,372.89
  5. Step 5: Solve for x
    x = 175,615,372.89/15,754.71
  6. Step 6: Final answer
    x = 11,146.85

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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.