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Finding the Fourth Proportional to 10,713.38, 16,079.30 and 6,038

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Solution

The fourth proportional to 10,713.38, 16,079.30 and 6,038 is: 9,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.38 : 16,079.30 = 6,038 : x
  2. Step 2: Convert to fraction form
    10,713.38/16,079.30 = 6,038/x
  3. Step 3: Cross multiply
    10,713.38x = 16,079.30 × 6,038
  4. Step 4: Simplify right side
    10,713.38x = 97,086,813.40
  5. Step 5: Solve for x
    x = 97,086,813.40/10,713.38
  6. Step 6: Final answer
    x = 9,062.20

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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.