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Finding the Fourth Proportional to 22,842.47, 34,259 and 8,797.68

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Solution

The fourth proportional to 22,842.47, 34,259 and 8,797.68 is: 13,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.47 : 34,259 = 8,797.68 : x
  2. Step 2: Convert to fraction form
    22,842.47/34,259 = 8,797.68/x
  3. Step 3: Cross multiply
    22,842.47x = 34,259 × 8,797.68
  4. Step 4: Simplify right side
    22,842.47x = 301,399,719.12
  5. Step 5: Solve for x
    x = 301,399,719.12/22,842.47
  6. Step 6: Final answer
    x = 13,194.71

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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.