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Finding the Fourth Proportional to 10,597.14, 15,892.68 and 4,272

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Solution

The fourth proportional to 10,597.14, 15,892.68 and 4,272 is: 6,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.14 : 15,892.68 = 4,272 : x
  2. Step 2: Convert to fraction form
    10,597.14/15,892.68 = 4,272/x
  3. Step 3: Cross multiply
    10,597.14x = 15,892.68 × 4,272
  4. Step 4: Simplify right side
    10,597.14x = 67,893,528.96
  5. Step 5: Solve for x
    x = 67,893,528.96/10,597.14
  6. Step 6: Final answer
    x = 6,406.78

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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.