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Finding the Fourth Proportional to 24,977.60, 37,468.32 and 7,446.08

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Solution

The fourth proportional to 24,977.60, 37,468.32 and 7,446.08 is: 11,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.60 : 37,468.32 = 7,446.08 : x
  2. Step 2: Convert to fraction form
    24,977.60/37,468.32 = 7,446.08/x
  3. Step 3: Cross multiply
    24,977.60x = 37,468.32 × 7,446.08
  4. Step 4: Simplify right side
    24,977.60x = 278,992,108.19
  5. Step 5: Solve for x
    x = 278,992,108.19/24,977.60
  6. Step 6: Final answer
    x = 11,169.69

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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.