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Finding the Fourth Proportional to 4,723.62, 7,082.55 and 1,798.80

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Solution

The fourth proportional to 4,723.62, 7,082.55 and 1,798.80 is: 2,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.62 : 7,082.55 = 1,798.80 : x
  2. Step 2: Convert to fraction form
    4,723.62/7,082.55 = 1,798.80/x
  3. Step 3: Cross multiply
    4,723.62x = 7,082.55 × 1,798.80
  4. Step 4: Simplify right side
    4,723.62x = 12,740,090.94
  5. Step 5: Solve for x
    x = 12,740,090.94/4,723.62
  6. Step 6: Final answer
    x = 2,697.10

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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.