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Finding the Fourth Proportional to 27,418.34, 37,837.14 and 14,843

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Solution

The fourth proportional to 27,418.34, 37,837.14 and 14,843 is: 20,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.34 : 37,837.14 = 14,843 : x
  2. Step 2: Convert to fraction form
    27,418.34/37,837.14 = 14,843/x
  3. Step 3: Cross multiply
    27,418.34x = 37,837.14 × 14,843
  4. Step 4: Simplify right side
    27,418.34x = 561,616,669.02
  5. Step 5: Solve for x
    x = 561,616,669.02/27,418.34
  6. Step 6: Final answer
    x = 20,483.25

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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.