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Finding the Fourth Proportional to 6,105.40, 9,167.70 and 3,513.40

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Solution

The fourth proportional to 6,105.40, 9,167.70 and 3,513.40 is: 5,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.40 : 9,167.70 = 3,513.40 : x
  2. Step 2: Convert to fraction form
    6,105.40/9,167.70 = 3,513.40/x
  3. Step 3: Cross multiply
    6,105.40x = 9,167.70 × 3,513.40
  4. Step 4: Simplify right side
    6,105.40x = 32,209,797.18
  5. Step 5: Solve for x
    x = 32,209,797.18/6,105.40
  6. Step 6: Final answer
    x = 5,275.62

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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.