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Finding the Fourth Proportional to 11,204.56, 15,461.74 and 6,168.65

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Solution

The fourth proportional to 11,204.56, 15,461.74 and 6,168.65 is: 8,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.56 : 15,461.74 = 6,168.65 : x
  2. Step 2: Convert to fraction form
    11,204.56/15,461.74 = 6,168.65/x
  3. Step 3: Cross multiply
    11,204.56x = 15,461.74 × 6,168.65
  4. Step 4: Simplify right side
    11,204.56x = 95,378,031.61
  5. Step 5: Solve for x
    x = 95,378,031.61/11,204.56
  6. Step 6: Final answer
    x = 8,512.43

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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.