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Finding the Fourth Proportional to 6,698.35, 10,047.52 and 2,313.41

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Solution

The fourth proportional to 6,698.35, 10,047.52 and 2,313.41 is: 3,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.35 : 10,047.52 = 2,313.41 : x
  2. Step 2: Convert to fraction form
    6,698.35/10,047.52 = 2,313.41/x
  3. Step 3: Cross multiply
    6,698.35x = 10,047.52 × 2,313.41
  4. Step 4: Simplify right side
    6,698.35x = 23,244,033.24
  5. Step 5: Solve for x
    x = 23,244,033.24/6,698.35
  6. Step 6: Final answer
    x = 3,470.12

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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.