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Finding the Fourth Proportional to 6,866, 9,471.90 and 4,032.47

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Solution

The fourth proportional to 6,866, 9,471.90 and 4,032.47 is: 5,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866 : 9,471.90 = 4,032.47 : x
  2. Step 2: Convert to fraction form
    6,866/9,471.90 = 4,032.47/x
  3. Step 3: Cross multiply
    6,866x = 9,471.90 × 4,032.47
  4. Step 4: Simplify right side
    6,866x = 38,195,152.59
  5. Step 5: Solve for x
    x = 38,195,152.59/6,866
  6. Step 6: Final answer
    x = 5,562.94

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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.