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Finding the Fourth Proportional to 15,838.92, 23,757.84 and 7,522.92

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Solution

The fourth proportional to 15,838.92, 23,757.84 and 7,522.92 is: 11,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.92 : 23,757.84 = 7,522.92 : x
  2. Step 2: Convert to fraction form
    15,838.92/23,757.84 = 7,522.92/x
  3. Step 3: Cross multiply
    15,838.92x = 23,757.84 × 7,522.92
  4. Step 4: Simplify right side
    15,838.92x = 178,728,329.69
  5. Step 5: Solve for x
    x = 178,728,329.69/15,838.92
  6. Step 6: Final answer
    x = 11,284.12

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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.