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Finding the Fourth Proportional to 6,695.45, 9,249.14 and 6,197.22

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Solution

The fourth proportional to 6,695.45, 9,249.14 and 6,197.22 is: 8,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.45 : 9,249.14 = 6,197.22 : x
  2. Step 2: Convert to fraction form
    6,695.45/9,249.14 = 6,197.22/x
  3. Step 3: Cross multiply
    6,695.45x = 9,249.14 × 6,197.22
  4. Step 4: Simplify right side
    6,695.45x = 57,318,970.88
  5. Step 5: Solve for x
    x = 57,318,970.88/6,695.45
  6. Step 6: Final answer
    x = 8,560.89

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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.