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Finding the Fourth Proportional to 6,832.38, 10,248.38 and 1,901.82

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Solution

The fourth proportional to 6,832.38, 10,248.38 and 1,901.82 is: 2,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.38 : 10,248.38 = 1,901.82 : x
  2. Step 2: Convert to fraction form
    6,832.38/10,248.38 = 1,901.82/x
  3. Step 3: Cross multiply
    6,832.38x = 10,248.38 × 1,901.82
  4. Step 4: Simplify right side
    6,832.38x = 19,490,574.05
  5. Step 5: Solve for x
    x = 19,490,574.05/6,832.38
  6. Step 6: Final answer
    x = 2,852.68

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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.