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Finding the Fourth Proportional to 9,638.80, 14,452.80 and 4,091.20

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Solution

The fourth proportional to 9,638.80, 14,452.80 and 4,091.20 is: 6,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.80 : 14,452.80 = 4,091.20 : x
  2. Step 2: Convert to fraction form
    9,638.80/14,452.80 = 4,091.20/x
  3. Step 3: Cross multiply
    9,638.80x = 14,452.80 × 4,091.20
  4. Step 4: Simplify right side
    9,638.80x = 59,129,295.36
  5. Step 5: Solve for x
    x = 59,129,295.36/9,638.80
  6. Step 6: Final answer
    x = 6,134.51

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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.