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Finding the Fourth Proportional to 6,807.82, 9,398.37 and 4,581.40

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Solution

The fourth proportional to 6,807.82, 9,398.37 and 4,581.40 is: 6,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.82 : 9,398.37 = 4,581.40 : x
  2. Step 2: Convert to fraction form
    6,807.82/9,398.37 = 4,581.40/x
  3. Step 3: Cross multiply
    6,807.82x = 9,398.37 × 4,581.40
  4. Step 4: Simplify right side
    6,807.82x = 43,057,692.32
  5. Step 5: Solve for x
    x = 43,057,692.32/6,807.82
  6. Step 6: Final answer
    x = 6,324.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.