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Finding the Fourth Proportional to 10,281.38, 14,182.83 and 6,918.48

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Solution

The fourth proportional to 10,281.38, 14,182.83 and 6,918.48 is: 9,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.38 : 14,182.83 = 6,918.48 : x
  2. Step 2: Convert to fraction form
    10,281.38/14,182.83 = 6,918.48/x
  3. Step 3: Cross multiply
    10,281.38x = 14,182.83 × 6,918.48
  4. Step 4: Simplify right side
    10,281.38x = 98,123,625.70
  5. Step 5: Solve for x
    x = 98,123,625.70/10,281.38
  6. Step 6: Final answer
    x = 9,543.82

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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.