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Finding the Fourth Proportional to 8,281.80, 11,425.08 and 5,770.08

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Solution

The fourth proportional to 8,281.80, 11,425.08 and 5,770.08 is: 7,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.80 : 11,425.08 = 5,770.08 : x
  2. Step 2: Convert to fraction form
    8,281.80/11,425.08 = 5,770.08/x
  3. Step 3: Cross multiply
    8,281.80x = 11,425.08 × 5,770.08
  4. Step 4: Simplify right side
    8,281.80x = 65,923,625.61
  5. Step 5: Solve for x
    x = 65,923,625.61/8,281.80
  6. Step 6: Final answer
    x = 7,960.06

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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.