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Finding the Fourth Proportional to 24,592.50, 36,892.35 and 7,947

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Solution

The fourth proportional to 24,592.50, 36,892.35 and 7,947 is: 11,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.50 : 36,892.35 = 7,947 : x
  2. Step 2: Convert to fraction form
    24,592.50/36,892.35 = 7,947/x
  3. Step 3: Cross multiply
    24,592.50x = 36,892.35 × 7,947
  4. Step 4: Simplify right side
    24,592.50x = 293,183,505.45
  5. Step 5: Solve for x
    x = 293,183,505.45/24,592.50
  6. Step 6: Final answer
    x = 11,921.66

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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.