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Finding the Fourth Proportional to 6,934.64, 10,400.24 and 2,549.68

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Solution

The fourth proportional to 6,934.64, 10,400.24 and 2,549.68 is: 3,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.64 : 10,400.24 = 2,549.68 : x
  2. Step 2: Convert to fraction form
    6,934.64/10,400.24 = 2,549.68/x
  3. Step 3: Cross multiply
    6,934.64x = 10,400.24 × 2,549.68
  4. Step 4: Simplify right side
    6,934.64x = 26,517,283.92
  5. Step 5: Solve for x
    x = 26,517,283.92/6,934.64
  6. Step 6: Final answer
    x = 3,823.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.