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Finding the Fourth Proportional to 7,046.59, 10,571.86 and 2,831.14

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Solution

The fourth proportional to 7,046.59, 10,571.86 and 2,831.14 is: 4,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.59 : 10,571.86 = 2,831.14 : x
  2. Step 2: Convert to fraction form
    7,046.59/10,571.86 = 2,831.14/x
  3. Step 3: Cross multiply
    7,046.59x = 10,571.86 × 2,831.14
  4. Step 4: Simplify right side
    7,046.59x = 29,930,427.99
  5. Step 5: Solve for x
    x = 29,930,427.99/7,046.59
  6. Step 6: Final answer
    x = 4,247.51

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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.