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Finding the Fourth Proportional to 27,878, 38,471.66 and 15,303.56

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Solution

The fourth proportional to 27,878, 38,471.66 and 15,303.56 is: 21,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878 : 38,471.66 = 15,303.56 : x
  2. Step 2: Convert to fraction form
    27,878/38,471.66 = 15,303.56/x
  3. Step 3: Cross multiply
    27,878x = 38,471.66 × 15,303.56
  4. Step 4: Simplify right side
    27,878x = 588,753,357.11
  5. Step 5: Solve for x
    x = 588,753,357.11/27,878
  6. Step 6: Final answer
    x = 21,118.92

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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.