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Finding the Fourth Proportional to 11,132.65, 16,693.79 and 6,454

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Solution

The fourth proportional to 11,132.65, 16,693.79 and 6,454 is: 9,677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.65 : 16,693.79 = 6,454 : x
  2. Step 2: Convert to fraction form
    11,132.65/16,693.79 = 6,454/x
  3. Step 3: Cross multiply
    11,132.65x = 16,693.79 × 6,454
  4. Step 4: Simplify right side
    11,132.65x = 107,741,720.66
  5. Step 5: Solve for x
    x = 107,741,720.66/11,132.65
  6. Step 6: Final answer
    x = 9,677.99

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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.