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Finding the Fourth Proportional to 9,799.92, 13,524.01 and 5,323.75

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Solution

The fourth proportional to 9,799.92, 13,524.01 and 5,323.75 is: 7,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.92 : 13,524.01 = 5,323.75 : x
  2. Step 2: Convert to fraction form
    9,799.92/13,524.01 = 5,323.75/x
  3. Step 3: Cross multiply
    9,799.92x = 13,524.01 × 5,323.75
  4. Step 4: Simplify right side
    9,799.92x = 71,998,401.12
  5. Step 5: Solve for x
    x = 71,998,401.12/9,799.92
  6. Step 6: Final answer
    x = 7,346.84

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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.