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Finding the Fourth Proportional to 6,695.68, 9,240.69 and 3,901

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Solution

The fourth proportional to 6,695.68, 9,240.69 and 3,901 is: 5,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.68 : 9,240.69 = 3,901 : x
  2. Step 2: Convert to fraction form
    6,695.68/9,240.69 = 3,901/x
  3. Step 3: Cross multiply
    6,695.68x = 9,240.69 × 3,901
  4. Step 4: Simplify right side
    6,695.68x = 36,047,931.69
  5. Step 5: Solve for x
    x = 36,047,931.69/6,695.68
  6. Step 6: Final answer
    x = 5,383.76

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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.