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Finding the Fourth Proportional to 27,488.25, 37,933.92 and 14,913

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Solution

The fourth proportional to 27,488.25, 37,933.92 and 14,913 is: 20,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.25 : 37,933.92 = 14,913 : x
  2. Step 2: Convert to fraction form
    27,488.25/37,933.92 = 14,913/x
  3. Step 3: Cross multiply
    27,488.25x = 37,933.92 × 14,913
  4. Step 4: Simplify right side
    27,488.25x = 565,708,548.96
  5. Step 5: Solve for x
    x = 565,708,548.96/27,488.25
  6. Step 6: Final answer
    x = 20,580.01

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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.