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Finding the Fourth Proportional to 7,902.87, 10,906.18 and 4,366.31

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Solution

The fourth proportional to 7,902.87, 10,906.18 and 4,366.31 is: 6,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.87 : 10,906.18 = 4,366.31 : x
  2. Step 2: Convert to fraction form
    7,902.87/10,906.18 = 4,366.31/x
  3. Step 3: Cross multiply
    7,902.87x = 10,906.18 × 4,366.31
  4. Step 4: Simplify right side
    7,902.87x = 47,619,686.43
  5. Step 5: Solve for x
    x = 47,619,686.43/7,902.87
  6. Step 6: Final answer
    x = 6,025.62

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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.