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Finding the Fourth Proportional to 6,470.65, 9,706.02 and 2,769.76

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Solution

The fourth proportional to 6,470.65, 9,706.02 and 2,769.76 is: 4,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.65 : 9,706.02 = 2,769.76 : x
  2. Step 2: Convert to fraction form
    6,470.65/9,706.02 = 2,769.76/x
  3. Step 3: Cross multiply
    6,470.65x = 9,706.02 × 2,769.76
  4. Step 4: Simplify right side
    6,470.65x = 26,883,345.96
  5. Step 5: Solve for x
    x = 26,883,345.96/6,470.65
  6. Step 6: Final answer
    x = 4,154.66

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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.