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Finding the Fourth Proportional to 4,734.32, 7,102.17 and 1,446.99

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Solution

The fourth proportional to 4,734.32, 7,102.17 and 1,446.99 is: 2,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.32 : 7,102.17 = 1,446.99 : x
  2. Step 2: Convert to fraction form
    4,734.32/7,102.17 = 1,446.99/x
  3. Step 3: Cross multiply
    4,734.32x = 7,102.17 × 1,446.99
  4. Step 4: Simplify right side
    4,734.32x = 10,276,768.97
  5. Step 5: Solve for x
    x = 10,276,768.97/4,734.32
  6. Step 6: Final answer
    x = 2,170.70

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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.