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Finding the Fourth Proportional to 6,698.40, 10,044 and 2,314.56

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Solution

The fourth proportional to 6,698.40, 10,044 and 2,314.56 is: 3,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.40 : 10,044 = 2,314.56 : x
  2. Step 2: Convert to fraction form
    6,698.40/10,044 = 2,314.56/x
  3. Step 3: Cross multiply
    6,698.40x = 10,044 × 2,314.56
  4. Step 4: Simplify right side
    6,698.40x = 23,247,440.64
  5. Step 5: Solve for x
    x = 23,247,440.64/6,698.40
  6. Step 6: Final answer
    x = 3,470.60

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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.