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Finding the Fourth Proportional to 6,246.88, 9,376 and 3,327.64

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Solution

The fourth proportional to 6,246.88, 9,376 and 3,327.64 is: 4,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.88 : 9,376 = 3,327.64 : x
  2. Step 2: Convert to fraction form
    6,246.88/9,376 = 3,327.64/x
  3. Step 3: Cross multiply
    6,246.88x = 9,376 × 3,327.64
  4. Step 4: Simplify right side
    6,246.88x = 31,199,952.64
  5. Step 5: Solve for x
    x = 31,199,952.64/6,246.88
  6. Step 6: Final answer
    x = 4,994.49

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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.