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Finding the Fourth Proportional to 6,140, 9,199.08 and 3,537.56

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Solution

The fourth proportional to 6,140, 9,199.08 and 3,537.56 is: 5,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140 : 9,199.08 = 3,537.56 : x
  2. Step 2: Convert to fraction form
    6,140/9,199.08 = 3,537.56/x
  3. Step 3: Cross multiply
    6,140x = 9,199.08 × 3,537.56
  4. Step 4: Simplify right side
    6,140x = 32,542,297.44
  5. Step 5: Solve for x
    x = 32,542,297.44/6,140
  6. Step 6: Final answer
    x = 5,300.05

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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.