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Finding the Fourth Proportional to 24,768.66, 37,162.71 and 9,197.22

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Solution

The fourth proportional to 24,768.66, 37,162.71 and 9,197.22 is: 13,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.66 : 37,162.71 = 9,197.22 : x
  2. Step 2: Convert to fraction form
    24,768.66/37,162.71 = 9,197.22/x
  3. Step 3: Cross multiply
    24,768.66x = 37,162.71 × 9,197.22
  4. Step 4: Simplify right side
    24,768.66x = 341,793,619.67
  5. Step 5: Solve for x
    x = 341,793,619.67/24,768.66
  6. Step 6: Final answer
    x = 13,799.44

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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.