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Finding the Fourth Proportional to 4,471.83, 6,675.05 and 4,146.57

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Solution

The fourth proportional to 4,471.83, 6,675.05 and 4,146.57 is: 6,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.83 : 6,675.05 = 4,146.57 : x
  2. Step 2: Convert to fraction form
    4,471.83/6,675.05 = 4,146.57/x
  3. Step 3: Cross multiply
    4,471.83x = 6,675.05 × 4,146.57
  4. Step 4: Simplify right side
    4,471.83x = 27,678,572.44
  5. Step 5: Solve for x
    x = 27,678,572.44/4,471.83
  6. Step 6: Final answer
    x = 6,189.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.