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Finding the Fourth Proportional to 6,430.79, 9,644.51 and 2,731.11

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Solution

The fourth proportional to 6,430.79, 9,644.51 and 2,731.11 is: 4,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.79 : 9,644.51 = 2,731.11 : x
  2. Step 2: Convert to fraction form
    6,430.79/9,644.51 = 2,731.11/x
  3. Step 3: Cross multiply
    6,430.79x = 9,644.51 × 2,731.11
  4. Step 4: Simplify right side
    6,430.79x = 26,340,217.71
  5. Step 5: Solve for x
    x = 26,340,217.71/6,430.79
  6. Step 6: Final answer
    x = 4,095.95

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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.