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Finding the Fourth Proportional to 6,486.19, 9,719.88 and 3,522.13

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Solution

The fourth proportional to 6,486.19, 9,719.88 and 3,522.13 is: 5,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.19 : 9,719.88 = 3,522.13 : x
  2. Step 2: Convert to fraction form
    6,486.19/9,719.88 = 3,522.13/x
  3. Step 3: Cross multiply
    6,486.19x = 9,719.88 × 3,522.13
  4. Step 4: Simplify right side
    6,486.19x = 34,234,680.94
  5. Step 5: Solve for x
    x = 34,234,680.94/6,486.19
  6. Step 6: Final answer
    x = 5,278.09

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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.