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Finding the Fourth Proportional to 6,950.19, 10,423.84 and 2,564.65

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Solution

The fourth proportional to 6,950.19, 10,423.84 and 2,564.65 is: 3,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.19 : 10,423.84 = 2,564.65 : x
  2. Step 2: Convert to fraction form
    6,950.19/10,423.84 = 2,564.65/x
  3. Step 3: Cross multiply
    6,950.19x = 10,423.84 × 2,564.65
  4. Step 4: Simplify right side
    6,950.19x = 26,733,454.05
  5. Step 5: Solve for x
    x = 26,733,454.05/6,950.19
  6. Step 6: Final answer
    x = 3,846.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.