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Finding the Fourth Proportional to 9,081.78, 13,548.84 and 8,232.96

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Solution

The fourth proportional to 9,081.78, 13,548.84 and 8,232.96 is: 12,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.78 : 13,548.84 = 8,232.96 : x
  2. Step 2: Convert to fraction form
    9,081.78/13,548.84 = 8,232.96/x
  3. Step 3: Cross multiply
    9,081.78x = 13,548.84 × 8,232.96
  4. Step 4: Simplify right side
    9,081.78x = 111,547,057.77
  5. Step 5: Solve for x
    x = 111,547,057.77/9,081.78
  6. Step 6: Final answer
    x = 12,282.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.