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Finding the Fourth Proportional to 6,964.11, 9,589.46 and 6,018.17

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Solution

The fourth proportional to 6,964.11, 9,589.46 and 6,018.17 is: 8,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.11 : 9,589.46 = 6,018.17 : x
  2. Step 2: Convert to fraction form
    6,964.11/9,589.46 = 6,018.17/x
  3. Step 3: Cross multiply
    6,964.11x = 9,589.46 × 6,018.17
  4. Step 4: Simplify right side
    6,964.11x = 57,710,922.45
  5. Step 5: Solve for x
    x = 57,710,922.45/6,964.11
  6. Step 6: Final answer
    x = 8,286.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.