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Finding the Fourth Proportional to 24,493.35, 36,736.37 and 7,851.65

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Solution

The fourth proportional to 24,493.35, 36,736.37 and 7,851.65 is: 11,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.35 : 36,736.37 = 7,851.65 : x
  2. Step 2: Convert to fraction form
    24,493.35/36,736.37 = 7,851.65/x
  3. Step 3: Cross multiply
    24,493.35x = 36,736.37 × 7,851.65
  4. Step 4: Simplify right side
    24,493.35x = 288,441,047.30
  5. Step 5: Solve for x
    x = 288,441,047.30/24,493.35
  6. Step 6: Final answer
    x = 11,776.30

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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.