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Finding the Fourth Proportional to 9,076.65, 12,524.19 and 5,042.83

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Solution

The fourth proportional to 9,076.65, 12,524.19 and 5,042.83 is: 6,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.65 : 12,524.19 = 5,042.83 : x
  2. Step 2: Convert to fraction form
    9,076.65/12,524.19 = 5,042.83/x
  3. Step 3: Cross multiply
    9,076.65x = 12,524.19 × 5,042.83
  4. Step 4: Simplify right side
    9,076.65x = 63,157,361.06
  5. Step 5: Solve for x
    x = 63,157,361.06/9,076.65
  6. Step 6: Final answer
    x = 6,958.22

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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.