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Finding the Fourth Proportional to 22,646.42, 33,934.98 and 9,491.61

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Solution

The fourth proportional to 22,646.42, 33,934.98 and 9,491.61 is: 14,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.42 : 33,934.98 = 9,491.61 : x
  2. Step 2: Convert to fraction form
    22,646.42/33,934.98 = 9,491.61/x
  3. Step 3: Cross multiply
    22,646.42x = 33,934.98 × 9,491.61
  4. Step 4: Simplify right side
    22,646.42x = 322,097,595.52
  5. Step 5: Solve for x
    x = 322,097,595.52/22,646.42
  6. Step 6: Final answer
    x = 14,222.90

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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.