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Finding the Fourth Proportional to 8,454.33, 12,684.20 and 4,072.23

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Solution

The fourth proportional to 8,454.33, 12,684.20 and 4,072.23 is: 6,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.33 : 12,684.20 = 4,072.23 : x
  2. Step 2: Convert to fraction form
    8,454.33/12,684.20 = 4,072.23/x
  3. Step 3: Cross multiply
    8,454.33x = 12,684.20 × 4,072.23
  4. Step 4: Simplify right side
    8,454.33x = 51,652,959.40
  5. Step 5: Solve for x
    x = 51,652,959.40/8,454.33
  6. Step 6: Final answer
    x = 6,109.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.