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Finding the Fourth Proportional to 6,327, 9,487.71 and 4,867.14

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Solution

The fourth proportional to 6,327, 9,487.71 and 4,867.14 is: 7,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327 : 9,487.71 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    6,327/9,487.71 = 4,867.14/x
  3. Step 3: Cross multiply
    6,327x = 9,487.71 × 4,867.14
  4. Step 4: Simplify right side
    6,327x = 46,178,012.85
  5. Step 5: Solve for x
    x = 46,178,012.85/6,327
  6. Step 6: Final answer
    x = 7,298.56

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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.