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Finding the Fourth Proportional to 9,077.26, 13,614.04 and 2,836.26

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Solution

The fourth proportional to 9,077.26, 13,614.04 and 2,836.26 is: 4,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.26 : 13,614.04 = 2,836.26 : x
  2. Step 2: Convert to fraction form
    9,077.26/13,614.04 = 2,836.26/x
  3. Step 3: Cross multiply
    9,077.26x = 13,614.04 × 2,836.26
  4. Step 4: Simplify right side
    9,077.26x = 38,612,957.09
  5. Step 5: Solve for x
    x = 38,612,957.09/9,077.26
  6. Step 6: Final answer
    x = 4,253.81

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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.