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Finding the Fourth Proportional to 6,853.10, 10,230.05 and 6,022.73

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Solution

The fourth proportional to 6,853.10, 10,230.05 and 6,022.73 is: 8,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.10 : 10,230.05 = 6,022.73 : x
  2. Step 2: Convert to fraction form
    6,853.10/10,230.05 = 6,022.73/x
  3. Step 3: Cross multiply
    6,853.10x = 10,230.05 × 6,022.73
  4. Step 4: Simplify right side
    6,853.10x = 61,612,869.67
  5. Step 5: Solve for x
    x = 61,612,869.67/6,853.10
  6. Step 6: Final answer
    x = 8,990.52

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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.