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Finding the Fourth Proportional to 4,207.68, 6,311.16 and 1,129.68

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Solution

The fourth proportional to 4,207.68, 6,311.16 and 1,129.68 is: 1,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.68 : 6,311.16 = 1,129.68 : x
  2. Step 2: Convert to fraction form
    4,207.68/6,311.16 = 1,129.68/x
  3. Step 3: Cross multiply
    4,207.68x = 6,311.16 × 1,129.68
  4. Step 4: Simplify right side
    4,207.68x = 7,129,591.23
  5. Step 5: Solve for x
    x = 7,129,591.23/4,207.68
  6. Step 6: Final answer
    x = 1,694.42

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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.