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Finding the Fourth Proportional to 6,871.90, 10,313.02 and 2,713

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Solution

The fourth proportional to 6,871.90, 10,313.02 and 2,713 is: 4,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.90 : 10,313.02 = 2,713 : x
  2. Step 2: Convert to fraction form
    6,871.90/10,313.02 = 2,713/x
  3. Step 3: Cross multiply
    6,871.90x = 10,313.02 × 2,713
  4. Step 4: Simplify right side
    6,871.90x = 27,979,223.26
  5. Step 5: Solve for x
    x = 27,979,223.26/6,871.90
  6. Step 6: Final answer
    x = 4,071.54

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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.