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Finding the Fourth Proportional to 6,102.81, 9,153.81 and 2,982.42

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Solution

The fourth proportional to 6,102.81, 9,153.81 and 2,982.42 is: 4,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.81 : 9,153.81 = 2,982.42 : x
  2. Step 2: Convert to fraction form
    6,102.81/9,153.81 = 2,982.42/x
  3. Step 3: Cross multiply
    6,102.81x = 9,153.81 × 2,982.42
  4. Step 4: Simplify right side
    6,102.81x = 27,300,506.02
  5. Step 5: Solve for x
    x = 27,300,506.02/6,102.81
  6. Step 6: Final answer
    x = 4,473.43

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1.5x scale

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.