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Finding the Fourth Proportional to 5,471.83, 8,205.72 and 1,773.10

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Solution

The fourth proportional to 5,471.83, 8,205.72 and 1,773.10 is: 2,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.83 : 8,205.72 = 1,773.10 : x
  2. Step 2: Convert to fraction form
    5,471.83/8,205.72 = 1,773.10/x
  3. Step 3: Cross multiply
    5,471.83x = 8,205.72 × 1,773.10
  4. Step 4: Simplify right side
    5,471.83x = 14,549,562.13
  5. Step 5: Solve for x
    x = 14,549,562.13/5,471.83
  6. Step 6: Final answer
    x = 2,658.99

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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.