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Finding the Fourth Proportional to 11,757.42, 16,224.17 and 6,721.48

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Solution

The fourth proportional to 11,757.42, 16,224.17 and 6,721.48 is: 9,275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.42 : 16,224.17 = 6,721.48 : x
  2. Step 2: Convert to fraction form
    11,757.42/16,224.17 = 6,721.48/x
  3. Step 3: Cross multiply
    11,757.42x = 16,224.17 × 6,721.48
  4. Step 4: Simplify right side
    11,757.42x = 109,050,420.84
  5. Step 5: Solve for x
    x = 109,050,420.84/11,757.42
  6. Step 6: Final answer
    x = 9,275.03

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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.