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Finding the Fourth Proportional to 10,562.46, 15,846 and 3,988.68

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Solution

The fourth proportional to 10,562.46, 15,846 and 3,988.68 is: 5,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.46 : 15,846 = 3,988.68 : x
  2. Step 2: Convert to fraction form
    10,562.46/15,846 = 3,988.68/x
  3. Step 3: Cross multiply
    10,562.46x = 15,846 × 3,988.68
  4. Step 4: Simplify right side
    10,562.46x = 63,204,623.28
  5. Step 5: Solve for x
    x = 63,204,623.28/10,562.46
  6. Step 6: Final answer
    x = 5,983.89

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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.