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Finding the Fourth Proportional to 7,411.75, 10,228.22 and 4,099.75

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Solution

The fourth proportional to 7,411.75, 10,228.22 and 4,099.75 is: 5,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.75 : 10,228.22 = 4,099.75 : x
  2. Step 2: Convert to fraction form
    7,411.75/10,228.22 = 4,099.75/x
  3. Step 3: Cross multiply
    7,411.75x = 10,228.22 × 4,099.75
  4. Step 4: Simplify right side
    7,411.75x = 41,933,144.95
  5. Step 5: Solve for x
    x = 41,933,144.95/7,411.75
  6. Step 6: Final answer
    x = 5,657.66

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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.