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Finding the Fourth Proportional to 9,805.26, 13,531.97 and 5,772.30

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Solution

The fourth proportional to 9,805.26, 13,531.97 and 5,772.30 is: 7,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.26 : 13,531.97 = 5,772.30 : x
  2. Step 2: Convert to fraction form
    9,805.26/13,531.97 = 5,772.30/x
  3. Step 3: Cross multiply
    9,805.26x = 13,531.97 × 5,772.30
  4. Step 4: Simplify right side
    9,805.26x = 78,110,561.57
  5. Step 5: Solve for x
    x = 78,110,561.57/9,805.26
  6. Step 6: Final answer
    x = 7,966.19

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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.