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Finding the Fourth Proportional to 6,864.48, 9,471.42 and 4,474.17

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Solution

The fourth proportional to 6,864.48, 9,471.42 and 4,474.17 is: 6,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.48 : 9,471.42 = 4,474.17 : x
  2. Step 2: Convert to fraction form
    6,864.48/9,471.42 = 4,474.17/x
  3. Step 3: Cross multiply
    6,864.48x = 9,471.42 × 4,474.17
  4. Step 4: Simplify right side
    6,864.48x = 42,376,743.22
  5. Step 5: Solve for x
    x = 42,376,743.22/6,864.48
  6. Step 6: Final answer
    x = 6,173.34

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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.