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Finding the Fourth Proportional to 7,198.80, 9,932.40 and 5,708.40

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Solution

The fourth proportional to 7,198.80, 9,932.40 and 5,708.40 is: 7,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.80 : 9,932.40 = 5,708.40 : x
  2. Step 2: Convert to fraction form
    7,198.80/9,932.40 = 5,708.40/x
  3. Step 3: Cross multiply
    7,198.80x = 9,932.40 × 5,708.40
  4. Step 4: Simplify right side
    7,198.80x = 56,698,112.16
  5. Step 5: Solve for x
    x = 56,698,112.16/7,198.80
  6. Step 6: Final answer
    x = 7,876.05

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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.