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Finding the Fourth Proportional to 12,791.65, 19,195.63 and 6,214.24

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Solution

The fourth proportional to 12,791.65, 19,195.63 and 6,214.24 is: 9,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.65 : 19,195.63 = 6,214.24 : x
  2. Step 2: Convert to fraction form
    12,791.65/19,195.63 = 6,214.24/x
  3. Step 3: Cross multiply
    12,791.65x = 19,195.63 × 6,214.24
  4. Step 4: Simplify right side
    12,791.65x = 119,286,349.17
  5. Step 5: Solve for x
    x = 119,286,349.17/12,791.65
  6. Step 6: Final answer
    x = 9,325.33

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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.