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Finding the Fourth Proportional to 4,719.61, 7,082.61 and 1,797.84

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Solution

The fourth proportional to 4,719.61, 7,082.61 and 1,797.84 is: 2,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.61 : 7,082.61 = 1,797.84 : x
  2. Step 2: Convert to fraction form
    4,719.61/7,082.61 = 1,797.84/x
  3. Step 3: Cross multiply
    4,719.61x = 7,082.61 × 1,797.84
  4. Step 4: Simplify right side
    4,719.61x = 12,733,355.16
  5. Step 5: Solve for x
    x = 12,733,355.16/4,719.61
  6. Step 6: Final answer
    x = 2,697.97

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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.