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Finding the Fourth Proportional to 15,008.25, 20,711.39 and 8,384.25

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Solution

The fourth proportional to 15,008.25, 20,711.39 and 8,384.25 is: 11,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,008.25 : 20,711.39 = 8,384.25 : x
  2. Step 2: Convert to fraction form
    15,008.25/20,711.39 = 8,384.25/x
  3. Step 3: Cross multiply
    15,008.25x = 20,711.39 × 8,384.25
  4. Step 4: Simplify right side
    15,008.25x = 173,649,471.61
  5. Step 5: Solve for x
    x = 173,649,471.61/15,008.25
  6. Step 6: Final answer
    x = 11,570.27

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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.