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Finding the Fourth Proportional to 10,446.59, 15,675.28 and 6,939.02

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Solution

The fourth proportional to 10,446.59, 15,675.28 and 6,939.02 is: 10,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.59 : 15,675.28 = 6,939.02 : x
  2. Step 2: Convert to fraction form
    10,446.59/15,675.28 = 6,939.02/x
  3. Step 3: Cross multiply
    10,446.59x = 15,675.28 × 6,939.02
  4. Step 4: Simplify right side
    10,446.59x = 108,771,103.27
  5. Step 5: Solve for x
    x = 108,771,103.27/10,446.59
  6. Step 6: Final answer
    x = 10,412.11

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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.