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Finding the Fourth Proportional to 6,831.84, 9,423.68 and 4,174.64

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Solution

The fourth proportional to 6,831.84, 9,423.68 and 4,174.64 is: 5,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.84 : 9,423.68 = 4,174.64 : x
  2. Step 2: Convert to fraction form
    6,831.84/9,423.68 = 4,174.64/x
  3. Step 3: Cross multiply
    6,831.84x = 9,423.68 × 4,174.64
  4. Step 4: Simplify right side
    6,831.84x = 39,340,438.82
  5. Step 5: Solve for x
    x = 39,340,438.82/6,831.84
  6. Step 6: Final answer
    x = 5,758.39

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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.