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Finding the Fourth Proportional to 10,515.54, 15,736.28 and 6,568.66

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Solution

The fourth proportional to 10,515.54, 15,736.28 and 6,568.66 is: 9,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.54 : 15,736.28 = 6,568.66 : x
  2. Step 2: Convert to fraction form
    10,515.54/15,736.28 = 6,568.66/x
  3. Step 3: Cross multiply
    10,515.54x = 15,736.28 × 6,568.66
  4. Step 4: Simplify right side
    10,515.54x = 103,366,250.07
  5. Step 5: Solve for x
    x = 103,366,250.07/10,515.54
  6. Step 6: Final answer
    x = 9,829.86

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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.