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Finding the Fourth Proportional to 6,846.26, 10,286.69 and 6,569.47

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Solution

The fourth proportional to 6,846.26, 10,286.69 and 6,569.47 is: 9,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.26 : 10,286.69 = 6,569.47 : x
  2. Step 2: Convert to fraction form
    6,846.26/10,286.69 = 6,569.47/x
  3. Step 3: Cross multiply
    6,846.26x = 10,286.69 × 6,569.47
  4. Step 4: Simplify right side
    6,846.26x = 67,578,101.35
  5. Step 5: Solve for x
    x = 67,578,101.35/6,846.26
  6. Step 6: Final answer
    x = 9,870.81

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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.