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Finding the Fourth Proportional to 11,449.66, 15,801.86 and 6,976.04

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Solution

The fourth proportional to 11,449.66, 15,801.86 and 6,976.04 is: 9,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.66 : 15,801.86 = 6,976.04 : x
  2. Step 2: Convert to fraction form
    11,449.66/15,801.86 = 6,976.04/x
  3. Step 3: Cross multiply
    11,449.66x = 15,801.86 × 6,976.04
  4. Step 4: Simplify right side
    11,449.66x = 110,234,407.43
  5. Step 5: Solve for x
    x = 110,234,407.43/11,449.66
  6. Step 6: Final answer
    x = 9,627.75

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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.