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Finding the Fourth Proportional to 10,634, 15,951.14 and 3,708.50

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Solution

The fourth proportional to 10,634, 15,951.14 and 3,708.50 is: 5,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634 : 15,951.14 = 3,708.50 : x
  2. Step 2: Convert to fraction form
    10,634/15,951.14 = 3,708.50/x
  3. Step 3: Cross multiply
    10,634x = 15,951.14 × 3,708.50
  4. Step 4: Simplify right side
    10,634x = 59,154,784.15
  5. Step 5: Solve for x
    x = 59,154,784.15/10,634
  6. Step 6: Final answer
    x = 5,562.80

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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.