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Finding the Fourth Proportional to 7,734.43, 11,602.32 and 2,470.19

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Solution

The fourth proportional to 7,734.43, 11,602.32 and 2,470.19 is: 3,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.43 : 11,602.32 = 2,470.19 : x
  2. Step 2: Convert to fraction form
    7,734.43/11,602.32 = 2,470.19/x
  3. Step 3: Cross multiply
    7,734.43x = 11,602.32 × 2,470.19
  4. Step 4: Simplify right side
    7,734.43x = 28,659,963.85
  5. Step 5: Solve for x
    x = 28,659,963.85/7,734.43
  6. Step 6: Final answer
    x = 3,705.50

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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.