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Finding the Fourth Proportional to 9,237.44, 13,791.80 and 7,851.44

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Solution

The fourth proportional to 9,237.44, 13,791.80 and 7,851.44 is: 11,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.44 : 13,791.80 = 7,851.44 : x
  2. Step 2: Convert to fraction form
    9,237.44/13,791.80 = 7,851.44/x
  3. Step 3: Cross multiply
    9,237.44x = 13,791.80 × 7,851.44
  4. Step 4: Simplify right side
    9,237.44x = 108,285,490.19
  5. Step 5: Solve for x
    x = 108,285,490.19/9,237.44
  6. Step 6: Final answer
    x = 11,722.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.