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Finding the Fourth Proportional to 15,708, 23,572.80 and 6,474

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Solution

The fourth proportional to 15,708, 23,572.80 and 6,474 is: 9,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708 : 23,572.80 = 6,474 : x
  2. Step 2: Convert to fraction form
    15,708/23,572.80 = 6,474/x
  3. Step 3: Cross multiply
    15,708x = 23,572.80 × 6,474
  4. Step 4: Simplify right side
    15,708x = 152,610,307.20
  5. Step 5: Solve for x
    x = 152,610,307.20/15,708
  6. Step 6: Final answer
    x = 9,715.45

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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.