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Finding the Fourth Proportional to 8,326.70, 11,494.19 and 5,676.78

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Solution

The fourth proportional to 8,326.70, 11,494.19 and 5,676.78 is: 7,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.70 : 11,494.19 = 5,676.78 : x
  2. Step 2: Convert to fraction form
    8,326.70/11,494.19 = 5,676.78/x
  3. Step 3: Cross multiply
    8,326.70x = 11,494.19 × 5,676.78
  4. Step 4: Simplify right side
    8,326.70x = 65,250,002.10
  5. Step 5: Solve for x
    x = 65,250,002.10/8,326.70
  6. Step 6: Final answer
    x = 7,836.24

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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.