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Finding the Fourth Proportional to 27,612.63, 41,418.74 and 6,836.13

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Solution

The fourth proportional to 27,612.63, 41,418.74 and 6,836.13 is: 10,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612.63 : 41,418.74 = 6,836.13 : x
  2. Step 2: Convert to fraction form
    27,612.63/41,418.74 = 6,836.13/x
  3. Step 3: Cross multiply
    27,612.63x = 41,418.74 × 6,836.13
  4. Step 4: Simplify right side
    27,612.63x = 283,143,908.17
  5. Step 5: Solve for x
    x = 283,143,908.17/27,612.63
  6. Step 6: Final answer
    x = 10,254.14

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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.