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Finding the Fourth Proportional to 6,470.93, 9,706.98 and 2,772.32

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Solution

The fourth proportional to 6,470.93, 9,706.98 and 2,772.32 is: 4,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.93 : 9,706.98 = 2,772.32 : x
  2. Step 2: Convert to fraction form
    6,470.93/9,706.98 = 2,772.32/x
  3. Step 3: Cross multiply
    6,470.93x = 9,706.98 × 2,772.32
  4. Step 4: Simplify right side
    6,470.93x = 26,910,854.79
  5. Step 5: Solve for x
    x = 26,910,854.79/6,470.93
  6. Step 6: Final answer
    x = 4,158.73

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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.