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Finding the Fourth Proportional to 10,537, 14,542.34 and 6,121

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Solution

The fourth proportional to 10,537, 14,542.34 and 6,121 is: 8,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537 : 14,542.34 = 6,121 : x
  2. Step 2: Convert to fraction form
    10,537/14,542.34 = 6,121/x
  3. Step 3: Cross multiply
    10,537x = 14,542.34 × 6,121
  4. Step 4: Simplify right side
    10,537x = 89,013,663.14
  5. Step 5: Solve for x
    x = 89,013,663.14/10,537
  6. Step 6: Final answer
    x = 8,447.72

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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.