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Finding the Fourth Proportional to 6,866.28, 10,300.04 and 1,935.98

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Solution

The fourth proportional to 6,866.28, 10,300.04 and 1,935.98 is: 2,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.28 : 10,300.04 = 1,935.98 : x
  2. Step 2: Convert to fraction form
    6,866.28/10,300.04 = 1,935.98/x
  3. Step 3: Cross multiply
    6,866.28x = 10,300.04 × 1,935.98
  4. Step 4: Simplify right side
    6,866.28x = 19,940,610.26
  5. Step 5: Solve for x
    x = 19,940,610.26/6,866.28
  6. Step 6: Final answer
    x = 2,904.14

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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.