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Finding the Fourth Proportional to 11,532.71, 15,913.97 and 6,496.13

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Solution

The fourth proportional to 11,532.71, 15,913.97 and 6,496.13 is: 8,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.71 : 15,913.97 = 6,496.13 : x
  2. Step 2: Convert to fraction form
    11,532.71/15,913.97 = 6,496.13/x
  3. Step 3: Cross multiply
    11,532.71x = 15,913.97 × 6,496.13
  4. Step 4: Simplify right side
    11,532.71x = 103,379,249.60
  5. Step 5: Solve for x
    x = 103,379,249.60/11,532.71
  6. Step 6: Final answer
    x = 8,964.00

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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.