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Finding the Fourth Proportional to 24,615.16, 36,922.62 and 6,147.16

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Solution

The fourth proportional to 24,615.16, 36,922.62 and 6,147.16 is: 9,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.16 : 36,922.62 = 6,147.16 : x
  2. Step 2: Convert to fraction form
    24,615.16/36,922.62 = 6,147.16/x
  3. Step 3: Cross multiply
    24,615.16x = 36,922.62 × 6,147.16
  4. Step 4: Simplify right side
    24,615.16x = 226,969,252.76
  5. Step 5: Solve for x
    x = 226,969,252.76/24,615.16
  6. Step 6: Final answer
    x = 9,220.71

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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.