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Finding the Fourth Proportional to 11,452.56, 15,801.80 and 6,976.24

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Solution

The fourth proportional to 11,452.56, 15,801.80 and 6,976.24 is: 9,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.56 : 15,801.80 = 6,976.24 : x
  2. Step 2: Convert to fraction form
    11,452.56/15,801.80 = 6,976.24/x
  3. Step 3: Cross multiply
    11,452.56x = 15,801.80 × 6,976.24
  4. Step 4: Simplify right side
    11,452.56x = 110,237,149.23
  5. Step 5: Solve for x
    x = 110,237,149.23/11,452.56
  6. Step 6: Final answer
    x = 9,625.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.