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Finding the Fourth Proportional to 11,452.35, 15,804.42 and 6,976.29

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Solution

The fourth proportional to 11,452.35, 15,804.42 and 6,976.29 is: 9,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.35 : 15,804.42 = 6,976.29 : x
  2. Step 2: Convert to fraction form
    11,452.35/15,804.42 = 6,976.29/x
  3. Step 3: Cross multiply
    11,452.35x = 15,804.42 × 6,976.29
  4. Step 4: Simplify right side
    11,452.35x = 110,256,217.20
  5. Step 5: Solve for x
    x = 110,256,217.20/11,452.35
  6. Step 6: Final answer
    x = 9,627.39

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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.