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Finding the Fourth Proportional to 6,708.64, 10,062.96 and 2,092

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Solution

The fourth proportional to 6,708.64, 10,062.96 and 2,092 is: 3,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.64 : 10,062.96 = 2,092 : x
  2. Step 2: Convert to fraction form
    6,708.64/10,062.96 = 2,092/x
  3. Step 3: Cross multiply
    6,708.64x = 10,062.96 × 2,092
  4. Step 4: Simplify right side
    6,708.64x = 21,051,712.32
  5. Step 5: Solve for x
    x = 21,051,712.32/6,708.64
  6. Step 6: Final answer
    x = 3,138.00

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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.