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Finding the Fourth Proportional to 6,502.56, 8,974.80 and 4,260.48

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Solution

The fourth proportional to 6,502.56, 8,974.80 and 4,260.48 is: 5,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.56 : 8,974.80 = 4,260.48 : x
  2. Step 2: Convert to fraction form
    6,502.56/8,974.80 = 4,260.48/x
  3. Step 3: Cross multiply
    6,502.56x = 8,974.80 × 4,260.48
  4. Step 4: Simplify right side
    6,502.56x = 38,236,955.90
  5. Step 5: Solve for x
    x = 38,236,955.90/6,502.56
  6. Step 6: Final answer
    x = 5,880.29

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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.