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Finding the Fourth Proportional to 6,799.48, 9,386.54 and 4,282.81

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Solution

The fourth proportional to 6,799.48, 9,386.54 and 4,282.81 is: 5,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.48 : 9,386.54 = 4,282.81 : x
  2. Step 2: Convert to fraction form
    6,799.48/9,386.54 = 4,282.81/x
  3. Step 3: Cross multiply
    6,799.48x = 9,386.54 × 4,282.81
  4. Step 4: Simplify right side
    6,799.48x = 40,200,767.38
  5. Step 5: Solve for x
    x = 40,200,767.38/6,799.48
  6. Step 6: Final answer
    x = 5,912.33

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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.