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Finding the Fourth Proportional to 3,143.53, 4,714.51 and 1,063.49

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Solution

The fourth proportional to 3,143.53, 4,714.51 and 1,063.49 is: 1,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.53 : 4,714.51 = 1,063.49 : x
  2. Step 2: Convert to fraction form
    3,143.53/4,714.51 = 1,063.49/x
  3. Step 3: Cross multiply
    3,143.53x = 4,714.51 × 1,063.49
  4. Step 4: Simplify right side
    3,143.53x = 5,013,834.24
  5. Step 5: Solve for x
    x = 5,013,834.24/3,143.53
  6. Step 6: Final answer
    x = 1,594.97

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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.