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Finding the Fourth Proportional to 6,478.54, 9,717.74 and 2,095.90

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Solution

The fourth proportional to 6,478.54, 9,717.74 and 2,095.90 is: 3,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.54 : 9,717.74 = 2,095.90 : x
  2. Step 2: Convert to fraction form
    6,478.54/9,717.74 = 2,095.90/x
  3. Step 3: Cross multiply
    6,478.54x = 9,717.74 × 2,095.90
  4. Step 4: Simplify right side
    6,478.54x = 20,367,411.27
  5. Step 5: Solve for x
    x = 20,367,411.27/6,478.54
  6. Step 6: Final answer
    x = 3,143.83

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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.