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Finding the Fourth Proportional to 33,658.40, 50,497.49 and 9,966.57

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Solution

The fourth proportional to 33,658.40, 50,497.49 and 9,966.57 is: 14,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658.40 : 50,497.49 = 9,966.57 : x
  2. Step 2: Convert to fraction form
    33,658.40/50,497.49 = 9,966.57/x
  3. Step 3: Cross multiply
    33,658.40x = 50,497.49 × 9,966.57
  4. Step 4: Simplify right side
    33,658.40x = 503,286,719.08
  5. Step 5: Solve for x
    x = 503,286,719.08/33,658.40
  6. Step 6: Final answer
    x = 14,952.78

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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.