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Finding the Fourth Proportional to 12,614.76, 18,924.90 and 3,849.42

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Solution

The fourth proportional to 12,614.76, 18,924.90 and 3,849.42 is: 5,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.76 : 18,924.90 = 3,849.42 : x
  2. Step 2: Convert to fraction form
    12,614.76/18,924.90 = 3,849.42/x
  3. Step 3: Cross multiply
    12,614.76x = 18,924.90 × 3,849.42
  4. Step 4: Simplify right side
    12,614.76x = 72,849,888.56
  5. Step 5: Solve for x
    x = 72,849,888.56/12,614.76
  6. Step 6: Final answer
    x = 5,774.97

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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.