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Finding the Fourth Proportional to 22,776.84, 34,161.42 and 6,357

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Solution

The fourth proportional to 22,776.84, 34,161.42 and 6,357 is: 9,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.84 : 34,161.42 = 6,357 : x
  2. Step 2: Convert to fraction form
    22,776.84/34,161.42 = 6,357/x
  3. Step 3: Cross multiply
    22,776.84x = 34,161.42 × 6,357
  4. Step 4: Simplify right side
    22,776.84x = 217,164,146.94
  5. Step 5: Solve for x
    x = 217,164,146.94/22,776.84
  6. Step 6: Final answer
    x = 9,534.43

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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.