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Finding the Fourth Proportional to 8,456.74, 11,672.65 and 4,920.64

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Solution

The fourth proportional to 8,456.74, 11,672.65 and 4,920.64 is: 6,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.74 : 11,672.65 = 4,920.64 : x
  2. Step 2: Convert to fraction form
    8,456.74/11,672.65 = 4,920.64/x
  3. Step 3: Cross multiply
    8,456.74x = 11,672.65 × 4,920.64
  4. Step 4: Simplify right side
    8,456.74x = 57,436,885.47
  5. Step 5: Solve for x
    x = 57,436,885.47/8,456.74
  6. Step 6: Final answer
    x = 6,791.84

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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.