Home / 6,531-9,796.50-1,914.04

Finding the Fourth Proportional to 6,531, 9,796.50 and 1,914.04

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Solution

The fourth proportional to 6,531, 9,796.50 and 1,914.04 is: 2,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531 : 9,796.50 = 1,914.04 : x
  2. Step 2: Convert to fraction form
    6,531/9,796.50 = 1,914.04/x
  3. Step 3: Cross multiply
    6,531x = 9,796.50 × 1,914.04
  4. Step 4: Simplify right side
    6,531x = 18,750,892.86
  5. Step 5: Solve for x
    x = 18,750,892.86/6,531
  6. Step 6: Final answer
    x = 2,871.06

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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.