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Finding the Fourth Proportional to 8,466.64, 11,684.80 and 6,338.42

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Solution

The fourth proportional to 8,466.64, 11,684.80 and 6,338.42 is: 8,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.64 : 11,684.80 = 6,338.42 : x
  2. Step 2: Convert to fraction form
    8,466.64/11,684.80 = 6,338.42/x
  3. Step 3: Cross multiply
    8,466.64x = 11,684.80 × 6,338.42
  4. Step 4: Simplify right side
    8,466.64x = 74,063,163.33
  5. Step 5: Solve for x
    x = 74,063,163.33/8,466.64
  6. Step 6: Final answer
    x = 8,747.65

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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.