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Finding the Fourth Proportional to 7,963.44, 10,990.65 and 5,732.70

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Solution

The fourth proportional to 7,963.44, 10,990.65 and 5,732.70 is: 7,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.44 : 10,990.65 = 5,732.70 : x
  2. Step 2: Convert to fraction form
    7,963.44/10,990.65 = 5,732.70/x
  3. Step 3: Cross multiply
    7,963.44x = 10,990.65 × 5,732.70
  4. Step 4: Simplify right side
    7,963.44x = 63,006,099.26
  5. Step 5: Solve for x
    x = 63,006,099.26/7,963.44
  6. Step 6: Final answer
    x = 7,911.92

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1.5x scale

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.