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Finding the Fourth Proportional to 9,851.61, 14,791.09 and 6,168.34

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Solution

The fourth proportional to 9,851.61, 14,791.09 and 6,168.34 is: 9,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.61 : 14,791.09 = 6,168.34 : x
  2. Step 2: Convert to fraction form
    9,851.61/14,791.09 = 6,168.34/x
  3. Step 3: Cross multiply
    9,851.61x = 14,791.09 × 6,168.34
  4. Step 4: Simplify right side
    9,851.61x = 91,236,472.09
  5. Step 5: Solve for x
    x = 91,236,472.09/9,851.61
  6. Step 6: Final answer
    x = 9,261.07

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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.