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Finding the Fourth Proportional to 9,138.80, 13,708.26 and 2,898.80

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Solution

The fourth proportional to 9,138.80, 13,708.26 and 2,898.80 is: 4,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.80 : 13,708.26 = 2,898.80 : x
  2. Step 2: Convert to fraction form
    9,138.80/13,708.26 = 2,898.80/x
  3. Step 3: Cross multiply
    9,138.80x = 13,708.26 × 2,898.80
  4. Step 4: Simplify right side
    9,138.80x = 39,737,504.09
  5. Step 5: Solve for x
    x = 39,737,504.09/9,138.80
  6. Step 6: Final answer
    x = 4,348.22

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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.