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Finding the Fourth Proportional to 7,199.85, 9,932.39 and 4,213.84

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Solution

The fourth proportional to 7,199.85, 9,932.39 and 4,213.84 is: 5,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.85 : 9,932.39 = 4,213.84 : x
  2. Step 2: Convert to fraction form
    7,199.85/9,932.39 = 4,213.84/x
  3. Step 3: Cross multiply
    7,199.85x = 9,932.39 × 4,213.84
  4. Step 4: Simplify right side
    7,199.85x = 41,853,502.28
  5. Step 5: Solve for x
    x = 41,853,502.28/7,199.85
  6. Step 6: Final answer
    x = 5,813.11

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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.