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Finding the Fourth Proportional to 11,444, 15,791.86 and 6,967.26

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Solution

The fourth proportional to 11,444, 15,791.86 and 6,967.26 is: 9,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444 : 15,791.86 = 6,967.26 : x
  2. Step 2: Convert to fraction form
    11,444/15,791.86 = 6,967.26/x
  3. Step 3: Cross multiply
    11,444x = 15,791.86 × 6,967.26
  4. Step 4: Simplify right side
    11,444x = 110,025,880.71
  5. Step 5: Solve for x
    x = 110,025,880.71/11,444
  6. Step 6: Final answer
    x = 9,614.29

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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.