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Finding the Fourth Proportional to 6,557.73, 9,834.33 and 1,876.48

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Solution

The fourth proportional to 6,557.73, 9,834.33 and 1,876.48 is: 2,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.73 : 9,834.33 = 1,876.48 : x
  2. Step 2: Convert to fraction form
    6,557.73/9,834.33 = 1,876.48/x
  3. Step 3: Cross multiply
    6,557.73x = 9,834.33 × 1,876.48
  4. Step 4: Simplify right side
    6,557.73x = 18,453,923.56
  5. Step 5: Solve for x
    x = 18,453,923.56/6,557.73
  6. Step 6: Final answer
    x = 2,814.07

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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.