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Finding the Fourth Proportional to 6,138, 9,196.08 and 3,535.56

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Solution

The fourth proportional to 6,138, 9,196.08 and 3,535.56 is: 5,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 9,196.08 = 3,535.56 : x
  2. Step 2: Convert to fraction form
    6,138/9,196.08 = 3,535.56/x
  3. Step 3: Cross multiply
    6,138x = 9,196.08 × 3,535.56
  4. Step 4: Simplify right side
    6,138x = 32,513,292.60
  5. Step 5: Solve for x
    x = 32,513,292.60/6,138
  6. Step 6: Final answer
    x = 5,297.05

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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.