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Finding the Fourth Proportional to 6,703.74, 10,056.92 and 2,024.13

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Solution

The fourth proportional to 6,703.74, 10,056.92 and 2,024.13 is: 3,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.74 : 10,056.92 = 2,024.13 : x
  2. Step 2: Convert to fraction form
    6,703.74/10,056.92 = 2,024.13/x
  3. Step 3: Cross multiply
    6,703.74x = 10,056.92 × 2,024.13
  4. Step 4: Simplify right side
    6,703.74x = 20,356,513.48
  5. Step 5: Solve for x
    x = 20,356,513.48/6,703.74
  6. Step 6: Final answer
    x = 3,036.59

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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.