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Finding the Fourth Proportional to 10,516.96, 14,512.85 and 6,538

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Solution

The fourth proportional to 10,516.96, 14,512.85 and 6,538 is: 9,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.96 : 14,512.85 = 6,538 : x
  2. Step 2: Convert to fraction form
    10,516.96/14,512.85 = 6,538/x
  3. Step 3: Cross multiply
    10,516.96x = 14,512.85 × 6,538
  4. Step 4: Simplify right side
    10,516.96x = 94,885,013.30
  5. Step 5: Solve for x
    x = 94,885,013.30/10,516.96
  6. Step 6: Final answer
    x = 9,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.