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Finding the Fourth Proportional to 24,845.85, 37,272.47 and 8,207.64

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Solution

The fourth proportional to 24,845.85, 37,272.47 and 8,207.64 is: 12,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845.85 : 37,272.47 = 8,207.64 : x
  2. Step 2: Convert to fraction form
    24,845.85/37,272.47 = 8,207.64/x
  3. Step 3: Cross multiply
    24,845.85x = 37,272.47 × 8,207.64
  4. Step 4: Simplify right side
    24,845.85x = 305,918,974.63
  5. Step 5: Solve for x
    x = 305,918,974.63/24,845.85
  6. Step 6: Final answer
    x = 12,312.68

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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.