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Finding the Fourth Proportional to 6,470.73, 9,707.67 and 4,617.27

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Solution

The fourth proportional to 6,470.73, 9,707.67 and 4,617.27 is: 6,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.73 : 9,707.67 = 4,617.27 : x
  2. Step 2: Convert to fraction form
    6,470.73/9,707.67 = 4,617.27/x
  3. Step 3: Cross multiply
    6,470.73x = 9,707.67 × 4,617.27
  4. Step 4: Simplify right side
    6,470.73x = 44,822,933.46
  5. Step 5: Solve for x
    x = 44,822,933.46/6,470.73
  6. Step 6: Final answer
    x = 6,927.03

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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.