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Finding the Fourth Proportional to 6,901.81, 9,525.81 and 3,917.92

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Solution

The fourth proportional to 6,901.81, 9,525.81 and 3,917.92 is: 5,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.81 : 9,525.81 = 3,917.92 : x
  2. Step 2: Convert to fraction form
    6,901.81/9,525.81 = 3,917.92/x
  3. Step 3: Cross multiply
    6,901.81x = 9,525.81 × 3,917.92
  4. Step 4: Simplify right side
    6,901.81x = 37,321,361.52
  5. Step 5: Solve for x
    x = 37,321,361.52/6,901.81
  6. Step 6: Final answer
    x = 5,407.47

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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.