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Finding the Fourth Proportional to 27,502.50, 41,254.56 and 6,726

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Solution

The fourth proportional to 27,502.50, 41,254.56 and 6,726 is: 10,089.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.50 : 41,254.56 = 6,726 : x
  2. Step 2: Convert to fraction form
    27,502.50/41,254.56 = 6,726/x
  3. Step 3: Cross multiply
    27,502.50x = 41,254.56 × 6,726
  4. Step 4: Simplify right side
    27,502.50x = 277,478,170.56
  5. Step 5: Solve for x
    x = 277,478,170.56/27,502.50
  6. Step 6: Final answer
    x = 10,089.20

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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.