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Finding the Fourth Proportional to 6,711.97, 10,065.13 and 2,549.68

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Solution

The fourth proportional to 6,711.97, 10,065.13 and 2,549.68 is: 3,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.97 : 10,065.13 = 2,549.68 : x
  2. Step 2: Convert to fraction form
    6,711.97/10,065.13 = 2,549.68/x
  3. Step 3: Cross multiply
    6,711.97x = 10,065.13 × 2,549.68
  4. Step 4: Simplify right side
    6,711.97x = 25,662,838.68
  5. Step 5: Solve for x
    x = 25,662,838.68/6,711.97
  6. Step 6: Final answer
    x = 3,823.45

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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.