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Finding the Fourth Proportional to 3,142.35, 4,713.57 and 951.12

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Solution

The fourth proportional to 3,142.35, 4,713.57 and 951.12 is: 1,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.35 : 4,713.57 = 951.12 : x
  2. Step 2: Convert to fraction form
    3,142.35/4,713.57 = 951.12/x
  3. Step 3: Cross multiply
    3,142.35x = 4,713.57 × 951.12
  4. Step 4: Simplify right side
    3,142.35x = 4,483,170.70
  5. Step 5: Solve for x
    x = 4,483,170.70/3,142.35
  6. Step 6: Final answer
    x = 1,426.69

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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.