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Finding the Fourth Proportional to 9,805.88, 13,532.12 and 5,614.13

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Solution

The fourth proportional to 9,805.88, 13,532.12 and 5,614.13 is: 7,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.88 : 13,532.12 = 5,614.13 : x
  2. Step 2: Convert to fraction form
    9,805.88/13,532.12 = 5,614.13/x
  3. Step 3: Cross multiply
    9,805.88x = 13,532.12 × 5,614.13
  4. Step 4: Simplify right side
    9,805.88x = 75,970,985.12
  5. Step 5: Solve for x
    x = 75,970,985.12/9,805.88
  6. Step 6: Final answer
    x = 7,747.50

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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.