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Finding the Fourth Proportional to 9,097.65, 13,647.11 and 3,549.15

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Solution

The fourth proportional to 9,097.65, 13,647.11 and 3,549.15 is: 5,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.65 : 13,647.11 = 3,549.15 : x
  2. Step 2: Convert to fraction form
    9,097.65/13,647.11 = 3,549.15/x
  3. Step 3: Cross multiply
    9,097.65x = 13,647.11 × 3,549.15
  4. Step 4: Simplify right side
    9,097.65x = 48,435,622.71
  5. Step 5: Solve for x
    x = 48,435,622.71/9,097.65
  6. Step 6: Final answer
    x = 5,323.97

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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.