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Finding the Fourth Proportional to 9,055.14, 12,468.60 and 8,032.14

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Solution

The fourth proportional to 9,055.14, 12,468.60 and 8,032.14 is: 11,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055.14 : 12,468.60 = 8,032.14 : x
  2. Step 2: Convert to fraction form
    9,055.14/12,468.60 = 8,032.14/x
  3. Step 3: Cross multiply
    9,055.14x = 12,468.60 × 8,032.14
  4. Step 4: Simplify right side
    9,055.14x = 100,149,540.80
  5. Step 5: Solve for x
    x = 100,149,540.80/9,055.14
  6. Step 6: Final answer
    x = 11,059.97

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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.