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Finding the Fourth Proportional to 6,778.60, 10,172.22 and 2,883

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Solution

The fourth proportional to 6,778.60, 10,172.22 and 2,883 is: 4,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.60 : 10,172.22 = 2,883 : x
  2. Step 2: Convert to fraction form
    6,778.60/10,172.22 = 2,883/x
  3. Step 3: Cross multiply
    6,778.60x = 10,172.22 × 2,883
  4. Step 4: Simplify right side
    6,778.60x = 29,326,510.26
  5. Step 5: Solve for x
    x = 29,326,510.26/6,778.60
  6. Step 6: Final answer
    x = 4,326.34

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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.