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Finding the Fourth Proportional to 9,805.88, 13,532.11 and 5,614.94

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Solution

The fourth proportional to 9,805.88, 13,532.11 and 5,614.94 is: 7,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.88 : 13,532.11 = 5,614.94 : x
  2. Step 2: Convert to fraction form
    9,805.88/13,532.11 = 5,614.94/x
  3. Step 3: Cross multiply
    9,805.88x = 13,532.11 × 5,614.94
  4. Step 4: Simplify right side
    9,805.88x = 75,981,904.03
  5. Step 5: Solve for x
    x = 75,981,904.03/9,805.88
  6. Step 6: Final answer
    x = 7,748.61

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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.