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Finding the Fourth Proportional to 9,281.11, 12,806.97 and 5,696.22

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Solution

The fourth proportional to 9,281.11, 12,806.97 and 5,696.22 is: 7,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.11 : 12,806.97 = 5,696.22 : x
  2. Step 2: Convert to fraction form
    9,281.11/12,806.97 = 5,696.22/x
  3. Step 3: Cross multiply
    9,281.11x = 12,806.97 × 5,696.22
  4. Step 4: Simplify right side
    9,281.11x = 72,951,249.27
  5. Step 5: Solve for x
    x = 72,951,249.27/9,281.11
  6. Step 6: Final answer
    x = 7,860.19

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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.