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Finding the Fourth Proportional to 9,249.88, 12,766.27 and 7,275.41

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Solution

The fourth proportional to 9,249.88, 12,766.27 and 7,275.41 is: 10,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.88 : 12,766.27 = 7,275.41 : x
  2. Step 2: Convert to fraction form
    9,249.88/12,766.27 = 7,275.41/x
  3. Step 3: Cross multiply
    9,249.88x = 12,766.27 × 7,275.41
  4. Step 4: Simplify right side
    9,249.88x = 92,879,848.42
  5. Step 5: Solve for x
    x = 92,879,848.42/9,249.88
  6. Step 6: Final answer
    x = 10,041.19

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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.