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Finding the Fourth Proportional to 7,169.69, 9,896.24 and 4,337.08

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Solution

The fourth proportional to 7,169.69, 9,896.24 and 4,337.08 is: 5,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.69 : 9,896.24 = 4,337.08 : x
  2. Step 2: Convert to fraction form
    7,169.69/9,896.24 = 4,337.08/x
  3. Step 3: Cross multiply
    7,169.69x = 9,896.24 × 4,337.08
  4. Step 4: Simplify right side
    7,169.69x = 42,920,770.68
  5. Step 5: Solve for x
    x = 42,920,770.68/7,169.69
  6. Step 6: Final answer
    x = 5,986.42

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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.