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Finding the Fourth Proportional to 9,242.59, 13,851.78 and 8,069.62

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Solution

The fourth proportional to 9,242.59, 13,851.78 and 8,069.62 is: 12,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.59 : 13,851.78 = 8,069.62 : x
  2. Step 2: Convert to fraction form
    9,242.59/13,851.78 = 8,069.62/x
  3. Step 3: Cross multiply
    9,242.59x = 13,851.78 × 8,069.62
  4. Step 4: Simplify right side
    9,242.59x = 111,778,600.92
  5. Step 5: Solve for x
    x = 111,778,600.92/9,242.59
  6. Step 6: Final answer
    x = 12,093.86

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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.