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Finding the Fourth Proportional to 9,227.80, 12,733.21 and 5,194.13

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Solution

The fourth proportional to 9,227.80, 12,733.21 and 5,194.13 is: 7,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.80 : 12,733.21 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    9,227.80/12,733.21 = 5,194.13/x
  3. Step 3: Cross multiply
    9,227.80x = 12,733.21 × 5,194.13
  4. Step 4: Simplify right side
    9,227.80x = 66,137,948.06
  5. Step 5: Solve for x
    x = 66,137,948.06/9,227.80
  6. Step 6: Final answer
    x = 7,167.25

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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.