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Finding the Fourth Proportional to 6,663, 9,994.74 and 2,502.57

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Solution

The fourth proportional to 6,663, 9,994.74 and 2,502.57 is: 3,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663 : 9,994.74 = 2,502.57 : x
  2. Step 2: Convert to fraction form
    6,663/9,994.74 = 2,502.57/x
  3. Step 3: Cross multiply
    6,663x = 9,994.74 × 2,502.57
  4. Step 4: Simplify right side
    6,663x = 25,012,536.48
  5. Step 5: Solve for x
    x = 25,012,536.48/6,663
  6. Step 6: Final answer
    x = 3,753.95

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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.