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Finding the Fourth Proportional to 7,311.98, 10,968.30 and 3,567.20

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Solution

The fourth proportional to 7,311.98, 10,968.30 and 3,567.20 is: 5,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.98 : 10,968.30 = 3,567.20 : x
  2. Step 2: Convert to fraction form
    7,311.98/10,968.30 = 3,567.20/x
  3. Step 3: Cross multiply
    7,311.98x = 10,968.30 × 3,567.20
  4. Step 4: Simplify right side
    7,311.98x = 39,126,147.18
  5. Step 5: Solve for x
    x = 39,126,147.18/7,311.98
  6. Step 6: Final answer
    x = 5,350.97

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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.