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Finding the Fourth Proportional to 24,546.31, 36,813.29 and 7,908.10

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Solution

The fourth proportional to 24,546.31, 36,813.29 and 7,908.10 is: 11,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.31 : 36,813.29 = 7,908.10 : x
  2. Step 2: Convert to fraction form
    24,546.31/36,813.29 = 7,908.10/x
  3. Step 3: Cross multiply
    24,546.31x = 36,813.29 × 7,908.10
  4. Step 4: Simplify right side
    24,546.31x = 291,123,047.08
  5. Step 5: Solve for x
    x = 291,123,047.08/24,546.31
  6. Step 6: Final answer
    x = 11,860.16

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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.