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Finding the Fourth Proportional to 9,409.57, 14,115.67 and 2,836.22

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Solution

The fourth proportional to 9,409.57, 14,115.67 and 2,836.22 is: 4,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.57 : 14,115.67 = 2,836.22 : x
  2. Step 2: Convert to fraction form
    9,409.57/14,115.67 = 2,836.22/x
  3. Step 3: Cross multiply
    9,409.57x = 14,115.67 × 2,836.22
  4. Step 4: Simplify right side
    9,409.57x = 40,035,067.90
  5. Step 5: Solve for x
    x = 40,035,067.90/9,409.57
  6. Step 6: Final answer
    x = 4,254.72

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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.