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Finding the Fourth Proportional to 6,568.49, 9,842.45 and 3,796.47

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Solution

The fourth proportional to 6,568.49, 9,842.45 and 3,796.47 is: 5,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.49 : 9,842.45 = 3,796.47 : x
  2. Step 2: Convert to fraction form
    6,568.49/9,842.45 = 3,796.47/x
  3. Step 3: Cross multiply
    6,568.49x = 9,842.45 × 3,796.47
  4. Step 4: Simplify right side
    6,568.49x = 37,366,547.17
  5. Step 5: Solve for x
    x = 37,366,547.17/6,568.49
  6. Step 6: Final answer
    x = 5,688.76

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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.