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Finding the Fourth Proportional to 24,404.28, 36,607.74 and 7,765.64

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Solution

The fourth proportional to 24,404.28, 36,607.74 and 7,765.64 is: 11,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404.28 : 36,607.74 = 7,765.64 : x
  2. Step 2: Convert to fraction form
    24,404.28/36,607.74 = 7,765.64/x
  3. Step 3: Cross multiply
    24,404.28x = 36,607.74 × 7,765.64
  4. Step 4: Simplify right side
    24,404.28x = 284,282,530.05
  5. Step 5: Solve for x
    x = 284,282,530.05/24,404.28
  6. Step 6: Final answer
    x = 11,648.88

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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.