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Finding the Fourth Proportional to 9,493.52, 13,098.84 and 8,171.60

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Solution

The fourth proportional to 9,493.52, 13,098.84 and 8,171.60 is: 11,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.52 : 13,098.84 = 8,171.60 : x
  2. Step 2: Convert to fraction form
    9,493.52/13,098.84 = 8,171.60/x
  3. Step 3: Cross multiply
    9,493.52x = 13,098.84 × 8,171.60
  4. Step 4: Simplify right side
    9,493.52x = 107,038,480.94
  5. Step 5: Solve for x
    x = 107,038,480.94/9,493.52
  6. Step 6: Final answer
    x = 11,274.90

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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.