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Finding the Fourth Proportional to 4,509.22, 6,763.83 and 1,737.20

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Solution

The fourth proportional to 4,509.22, 6,763.83 and 1,737.20 is: 2,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.22 : 6,763.83 = 1,737.20 : x
  2. Step 2: Convert to fraction form
    4,509.22/6,763.83 = 1,737.20/x
  3. Step 3: Cross multiply
    4,509.22x = 6,763.83 × 1,737.20
  4. Step 4: Simplify right side
    4,509.22x = 11,750,082.97
  5. Step 5: Solve for x
    x = 11,750,082.97/4,509.22
  6. Step 6: Final answer
    x = 2,605.79

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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.