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Finding the Fourth Proportional to 6,952.91, 9,595.03 and 3,766.22

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Solution

The fourth proportional to 6,952.91, 9,595.03 and 3,766.22 is: 5,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.91 : 9,595.03 = 3,766.22 : x
  2. Step 2: Convert to fraction form
    6,952.91/9,595.03 = 3,766.22/x
  3. Step 3: Cross multiply
    6,952.91x = 9,595.03 × 3,766.22
  4. Step 4: Simplify right side
    6,952.91x = 36,136,936.50
  5. Step 5: Solve for x
    x = 36,136,936.50/6,952.91
  6. Step 6: Final answer
    x = 5,197.38

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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.