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Finding the Fourth Proportional to 9,249.66, 13,863.15 and 4,566.24

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Solution

The fourth proportional to 9,249.66, 13,863.15 and 4,566.24 is: 6,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.66 : 13,863.15 = 4,566.24 : x
  2. Step 2: Convert to fraction form
    9,249.66/13,863.15 = 4,566.24/x
  3. Step 3: Cross multiply
    9,249.66x = 13,863.15 × 4,566.24
  4. Step 4: Simplify right side
    9,249.66x = 63,302,470.06
  5. Step 5: Solve for x
    x = 63,302,470.06/9,249.66
  6. Step 6: Final answer
    x = 6,843.76

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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.