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Finding the Fourth Proportional to 6,681.48, 10,022.01 and 3,174.01

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Solution

The fourth proportional to 6,681.48, 10,022.01 and 3,174.01 is: 4,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.48 : 10,022.01 = 3,174.01 : x
  2. Step 2: Convert to fraction form
    6,681.48/10,022.01 = 3,174.01/x
  3. Step 3: Cross multiply
    6,681.48x = 10,022.01 × 3,174.01
  4. Step 4: Simplify right side
    6,681.48x = 31,809,969.04
  5. Step 5: Solve for x
    x = 31,809,969.04/6,681.48
  6. Step 6: Final answer
    x = 4,760.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.