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Finding the Fourth Proportional to 6,710.57, 10,016.76 and 6,222.68

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Solution

The fourth proportional to 6,710.57, 10,016.76 and 6,222.68 is: 9,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.57 : 10,016.76 = 6,222.68 : x
  2. Step 2: Convert to fraction form
    6,710.57/10,016.76 = 6,222.68/x
  3. Step 3: Cross multiply
    6,710.57x = 10,016.76 × 6,222.68
  4. Step 4: Simplify right side
    6,710.57x = 62,331,042.03
  5. Step 5: Solve for x
    x = 62,331,042.03/6,710.57
  6. Step 6: Final answer
    x = 9,288.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.