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Finding the Fourth Proportional to 12,585, 18,877.66 and 4,377

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Solution

The fourth proportional to 12,585, 18,877.66 and 4,377 is: 6,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585 : 18,877.66 = 4,377 : x
  2. Step 2: Convert to fraction form
    12,585/18,877.66 = 4,377/x
  3. Step 3: Cross multiply
    12,585x = 18,877.66 × 4,377
  4. Step 4: Simplify right side
    12,585x = 82,627,517.82
  5. Step 5: Solve for x
    x = 82,627,517.82/12,585
  6. Step 6: Final answer
    x = 6,565.56

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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.