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Finding the Fourth Proportional to 24,546.56, 36,825.72 and 7,908.14

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Solution

The fourth proportional to 24,546.56, 36,825.72 and 7,908.14 is: 11,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.56 : 36,825.72 = 7,908.14 : x
  2. Step 2: Convert to fraction form
    24,546.56/36,825.72 = 7,908.14/x
  3. Step 3: Cross multiply
    24,546.56x = 36,825.72 × 7,908.14
  4. Step 4: Simplify right side
    24,546.56x = 291,222,949.36
  5. Step 5: Solve for x
    x = 291,222,949.36/24,546.56
  6. Step 6: Final answer
    x = 11,864.10

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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.