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Finding the Fourth Proportional to 6,866.16, 10,299.66 and 1,936.23

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Solution

The fourth proportional to 6,866.16, 10,299.66 and 1,936.23 is: 2,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.16 : 10,299.66 = 1,936.23 : x
  2. Step 2: Convert to fraction form
    6,866.16/10,299.66 = 1,936.23/x
  3. Step 3: Cross multiply
    6,866.16x = 10,299.66 × 1,936.23
  4. Step 4: Simplify right side
    6,866.16x = 19,942,510.68
  5. Step 5: Solve for x
    x = 19,942,510.68/6,866.16
  6. Step 6: Final answer
    x = 2,904.46

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Double scale
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1.5x scale

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.