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Finding the Fourth Proportional to 10,787, 16,180.48 and 6,166.76

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Solution

The fourth proportional to 10,787, 16,180.48 and 6,166.76 is: 9,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 16,180.48 = 6,166.76 : x
  2. Step 2: Convert to fraction form
    10,787/16,180.48 = 6,166.76/x
  3. Step 3: Cross multiply
    10,787x = 16,180.48 × 6,166.76
  4. Step 4: Simplify right side
    10,787x = 99,781,136.84
  5. Step 5: Solve for x
    x = 99,781,136.84/10,787
  6. Step 6: Final answer
    x = 9,250.13

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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.