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Finding the Fourth Proportional to 6,584.46, 9,868.15 and 5,018.71

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Solution

The fourth proportional to 6,584.46, 9,868.15 and 5,018.71 is: 7,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.46 : 9,868.15 = 5,018.71 : x
  2. Step 2: Convert to fraction form
    6,584.46/9,868.15 = 5,018.71/x
  3. Step 3: Cross multiply
    6,584.46x = 9,868.15 × 5,018.71
  4. Step 4: Simplify right side
    6,584.46x = 49,525,308.65
  5. Step 5: Solve for x
    x = 49,525,308.65/6,584.46
  6. Step 6: Final answer
    x = 7,521.54

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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.