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Finding the Fourth Proportional to 14,612.27, 21,913.02 and 5,249.78

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Solution

The fourth proportional to 14,612.27, 21,913.02 and 5,249.78 is: 7,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.27 : 21,913.02 = 5,249.78 : x
  2. Step 2: Convert to fraction form
    14,612.27/21,913.02 = 5,249.78/x
  3. Step 3: Cross multiply
    14,612.27x = 21,913.02 × 5,249.78
  4. Step 4: Simplify right side
    14,612.27x = 115,038,521.51
  5. Step 5: Solve for x
    x = 115,038,521.51/14,612.27
  6. Step 6: Final answer
    x = 7,872.73

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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.