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Finding the Fourth Proportional to 6,862.38, 9,473.70 and 4,474.50

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Solution

The fourth proportional to 6,862.38, 9,473.70 and 4,474.50 is: 6,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.38 : 9,473.70 = 4,474.50 : x
  2. Step 2: Convert to fraction form
    6,862.38/9,473.70 = 4,474.50/x
  3. Step 3: Cross multiply
    6,862.38x = 9,473.70 × 4,474.50
  4. Step 4: Simplify right side
    6,862.38x = 42,390,070.65
  5. Step 5: Solve for x
    x = 42,390,070.65/6,862.38
  6. Step 6: Final answer
    x = 6,177.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.