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Finding the Fourth Proportional to 15,312.50, 22,974.22 and 7,526.78

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Solution

The fourth proportional to 15,312.50, 22,974.22 and 7,526.78 is: 11,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.50 : 22,974.22 = 7,526.78 : x
  2. Step 2: Convert to fraction form
    15,312.50/22,974.22 = 7,526.78/x
  3. Step 3: Cross multiply
    15,312.50x = 22,974.22 × 7,526.78
  4. Step 4: Simplify right side
    15,312.50x = 172,921,899.61
  5. Step 5: Solve for x
    x = 172,921,899.61/15,312.50
  6. Step 6: Final answer
    x = 11,292.86

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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.