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Finding the Fourth Proportional to 9,491.32, 13,097.94 and 5,242.66

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Solution

The fourth proportional to 9,491.32, 13,097.94 and 5,242.66 is: 7,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.32 : 13,097.94 = 5,242.66 : x
  2. Step 2: Convert to fraction form
    9,491.32/13,097.94 = 5,242.66/x
  3. Step 3: Cross multiply
    9,491.32x = 13,097.94 × 5,242.66
  4. Step 4: Simplify right side
    9,491.32x = 68,668,046.12
  5. Step 5: Solve for x
    x = 68,668,046.12/9,491.32
  6. Step 6: Final answer
    x = 7,234.83

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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.