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Finding the Fourth Proportional to 6,581.58, 9,872.40 and 2,199

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Solution

The fourth proportional to 6,581.58, 9,872.40 and 2,199 is: 3,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.58 : 9,872.40 = 2,199 : x
  2. Step 2: Convert to fraction form
    6,581.58/9,872.40 = 2,199/x
  3. Step 3: Cross multiply
    6,581.58x = 9,872.40 × 2,199
  4. Step 4: Simplify right side
    6,581.58x = 21,709,407.60
  5. Step 5: Solve for x
    x = 21,709,407.60/6,581.58
  6. Step 6: Final answer
    x = 3,298.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.