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Finding the Fourth Proportional to 9,291.92, 13,924.77 and 7,202.15

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Solution

The fourth proportional to 9,291.92, 13,924.77 and 7,202.15 is: 10,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.92 : 13,924.77 = 7,202.15 : x
  2. Step 2: Convert to fraction form
    9,291.92/13,924.77 = 7,202.15/x
  3. Step 3: Cross multiply
    9,291.92x = 13,924.77 × 7,202.15
  4. Step 4: Simplify right side
    9,291.92x = 100,288,239.64
  5. Step 5: Solve for x
    x = 100,288,239.64/9,291.92
  6. Step 6: Final answer
    x = 10,793.06

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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.