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Finding the Fourth Proportional to 5,463.69, 8,195.94 and 1,568.13

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Solution

The fourth proportional to 5,463.69, 8,195.94 and 1,568.13 is: 2,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.69 : 8,195.94 = 1,568.13 : x
  2. Step 2: Convert to fraction form
    5,463.69/8,195.94 = 1,568.13/x
  3. Step 3: Cross multiply
    5,463.69x = 8,195.94 × 1,568.13
  4. Step 4: Simplify right side
    5,463.69x = 12,852,299.39
  5. Step 5: Solve for x
    x = 12,852,299.39/5,463.69
  6. Step 6: Final answer
    x = 2,352.31

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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.