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Finding the Fourth Proportional to 9,097.16, 13,616.89 and 5,969.76

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Solution

The fourth proportional to 9,097.16, 13,616.89 and 5,969.76 is: 8,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.16 : 13,616.89 = 5,969.76 : x
  2. Step 2: Convert to fraction form
    9,097.16/13,616.89 = 5,969.76/x
  3. Step 3: Cross multiply
    9,097.16x = 13,616.89 × 5,969.76
  4. Step 4: Simplify right side
    9,097.16x = 81,289,565.25
  5. Step 5: Solve for x
    x = 81,289,565.25/9,097.16
  6. Step 6: Final answer
    x = 8,935.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.