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Finding the Fourth Proportional to 6,349, 9,523.50 and 2,701

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Solution

The fourth proportional to 6,349, 9,523.50 and 2,701 is: 4,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349 : 9,523.50 = 2,701 : x
  2. Step 2: Convert to fraction form
    6,349/9,523.50 = 2,701/x
  3. Step 3: Cross multiply
    6,349x = 9,523.50 × 2,701
  4. Step 4: Simplify right side
    6,349x = 25,722,973.50
  5. Step 5: Solve for x
    x = 25,722,973.50/6,349
  6. Step 6: Final answer
    x = 4,051.50

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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.