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Finding the Fourth Proportional to 6,327.84, 8,733 and 3,534

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Solution

The fourth proportional to 6,327.84, 8,733 and 3,534 is: 4,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.84 : 8,733 = 3,534 : x
  2. Step 2: Convert to fraction form
    6,327.84/8,733 = 3,534/x
  3. Step 3: Cross multiply
    6,327.84x = 8,733 × 3,534
  4. Step 4: Simplify right side
    6,327.84x = 30,862,422
  5. Step 5: Solve for x
    x = 30,862,422/6,327.84
  6. Step 6: Final answer
    x = 4,877.24

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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.