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Finding the Fourth Proportional to 6,013.21, 9,019.88 and 2,117.65

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Solution

The fourth proportional to 6,013.21, 9,019.88 and 2,117.65 is: 3,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.21 : 9,019.88 = 2,117.65 : x
  2. Step 2: Convert to fraction form
    6,013.21/9,019.88 = 2,117.65/x
  3. Step 3: Cross multiply
    6,013.21x = 9,019.88 × 2,117.65
  4. Step 4: Simplify right side
    6,013.21x = 19,100,948.88
  5. Step 5: Solve for x
    x = 19,100,948.88/6,013.21
  6. Step 6: Final answer
    x = 3,176.50

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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.