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Finding the Fourth Proportional to 6,763.81, 9,334.24 and 3,779.97

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Solution

The fourth proportional to 6,763.81, 9,334.24 and 3,779.97 is: 5,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.81 : 9,334.24 = 3,779.97 : x
  2. Step 2: Convert to fraction form
    6,763.81/9,334.24 = 3,779.97/x
  3. Step 3: Cross multiply
    6,763.81x = 9,334.24 × 3,779.97
  4. Step 4: Simplify right side
    6,763.81x = 35,283,147.17
  5. Step 5: Solve for x
    x = 35,283,147.17/6,763.81
  6. Step 6: Final answer
    x = 5,216.46

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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.