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Finding the Fourth Proportional to 7,934, 10,948.92 and 4,397.75

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Solution

The fourth proportional to 7,934, 10,948.92 and 4,397.75 is: 6,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934 : 10,948.92 = 4,397.75 : x
  2. Step 2: Convert to fraction form
    7,934/10,948.92 = 4,397.75/x
  3. Step 3: Cross multiply
    7,934x = 10,948.92 × 4,397.75
  4. Step 4: Simplify right side
    7,934x = 48,150,558.19
  5. Step 5: Solve for x
    x = 48,150,558.19/7,934
  6. Step 6: Final answer
    x = 6,068.89

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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.