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Finding the Fourth Proportional to 7,246.80, 9,992.88 and 7,086.24

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Solution

The fourth proportional to 7,246.80, 9,992.88 and 7,086.24 is: 9,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.80 : 9,992.88 = 7,086.24 : x
  2. Step 2: Convert to fraction form
    7,246.80/9,992.88 = 7,086.24/x
  3. Step 3: Cross multiply
    7,246.80x = 9,992.88 × 7,086.24
  4. Step 4: Simplify right side
    7,246.80x = 70,811,945.97
  5. Step 5: Solve for x
    x = 70,811,945.97/7,246.80
  6. Step 6: Final answer
    x = 9,771.48

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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.