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Finding the Fourth Proportional to 6,295, 8,687.46 and 3,500.68

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Solution

The fourth proportional to 6,295, 8,687.46 and 3,500.68 is: 4,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295 : 8,687.46 = 3,500.68 : x
  2. Step 2: Convert to fraction form
    6,295/8,687.46 = 3,500.68/x
  3. Step 3: Cross multiply
    6,295x = 8,687.46 × 3,500.68
  4. Step 4: Simplify right side
    6,295x = 30,412,017.47
  5. Step 5: Solve for x
    x = 30,412,017.47/6,295
  6. Step 6: Final answer
    x = 4,831.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.