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Finding the Fourth Proportional to 7,211.78, 9,952.26 and 3,899.78

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Solution

The fourth proportional to 7,211.78, 9,952.26 and 3,899.78 is: 5,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.78 : 9,952.26 = 3,899.78 : x
  2. Step 2: Convert to fraction form
    7,211.78/9,952.26 = 3,899.78/x
  3. Step 3: Cross multiply
    7,211.78x = 9,952.26 × 3,899.78
  4. Step 4: Simplify right side
    7,211.78x = 38,811,624.50
  5. Step 5: Solve for x
    x = 38,811,624.50/7,211.78
  6. Step 6: Final answer
    x = 5,381.70

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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.