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Finding the Fourth Proportional to 22,516.86, 33,775.74 and 6,934.50

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Solution

The fourth proportional to 22,516.86, 33,775.74 and 6,934.50 is: 10,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.86 : 33,775.74 = 6,934.50 : x
  2. Step 2: Convert to fraction form
    22,516.86/33,775.74 = 6,934.50/x
  3. Step 3: Cross multiply
    22,516.86x = 33,775.74 × 6,934.50
  4. Step 4: Simplify right side
    22,516.86x = 234,217,869.03
  5. Step 5: Solve for x
    x = 234,217,869.03/22,516.86
  6. Step 6: Final answer
    x = 10,401.89

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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.