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Finding the Fourth Proportional to 9,410.59, 12,975.26 and 8,132.19

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Solution

The fourth proportional to 9,410.59, 12,975.26 and 8,132.19 is: 11,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.59 : 12,975.26 = 8,132.19 : x
  2. Step 2: Convert to fraction form
    9,410.59/12,975.26 = 8,132.19/x
  3. Step 3: Cross multiply
    9,410.59x = 12,975.26 × 8,132.19
  4. Step 4: Simplify right side
    9,410.59x = 105,517,279.62
  5. Step 5: Solve for x
    x = 105,517,279.62/9,410.59
  6. Step 6: Final answer
    x = 11,212.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.