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Finding the Fourth Proportional to 15,882.38, 23,803.05 and 7,564.94

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Solution

The fourth proportional to 15,882.38, 23,803.05 and 7,564.94 is: 11,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.38 : 23,803.05 = 7,564.94 : x
  2. Step 2: Convert to fraction form
    15,882.38/23,803.05 = 7,564.94/x
  3. Step 3: Cross multiply
    15,882.38x = 23,803.05 × 7,564.94
  4. Step 4: Simplify right side
    15,882.38x = 180,068,704.57
  5. Step 5: Solve for x
    x = 180,068,704.57/15,882.38
  6. Step 6: Final answer
    x = 11,337.64

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1.5x scale

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.