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Finding the Fourth Proportional to 4,608.32, 6,913.64 and 1,321.70

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Solution

The fourth proportional to 4,608.32, 6,913.64 and 1,321.70 is: 1,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.32 : 6,913.64 = 1,321.70 : x
  2. Step 2: Convert to fraction form
    4,608.32/6,913.64 = 1,321.70/x
  3. Step 3: Cross multiply
    4,608.32x = 6,913.64 × 1,321.70
  4. Step 4: Simplify right side
    4,608.32x = 9,137,757.99
  5. Step 5: Solve for x
    x = 9,137,757.99/4,608.32
  6. Step 6: Final answer
    x = 1,982.88

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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.