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Finding the Fourth Proportional to 6,454.50, 8,906.14 and 3,802.44

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Solution

The fourth proportional to 6,454.50, 8,906.14 and 3,802.44 is: 5,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.50 : 8,906.14 = 3,802.44 : x
  2. Step 2: Convert to fraction form
    6,454.50/8,906.14 = 3,802.44/x
  3. Step 3: Cross multiply
    6,454.50x = 8,906.14 × 3,802.44
  4. Step 4: Simplify right side
    6,454.50x = 33,865,062.98
  5. Step 5: Solve for x
    x = 33,865,062.98/6,454.50
  6. Step 6: Final answer
    x = 5,246.74

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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.