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Finding the Fourth Proportional to 6,367.17, 9,549.70 and 1,687.47

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Solution

The fourth proportional to 6,367.17, 9,549.70 and 1,687.47 is: 2,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.17 : 9,549.70 = 1,687.47 : x
  2. Step 2: Convert to fraction form
    6,367.17/9,549.70 = 1,687.47/x
  3. Step 3: Cross multiply
    6,367.17x = 9,549.70 × 1,687.47
  4. Step 4: Simplify right side
    6,367.17x = 16,114,798.56
  5. Step 5: Solve for x
    x = 16,114,798.56/6,367.17
  6. Step 6: Final answer
    x = 2,530.92

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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.