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Finding the Fourth Proportional to 14,658.46, 20,228.69 and 7,944.09

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Solution

The fourth proportional to 14,658.46, 20,228.69 and 7,944.09 is: 10,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.46 : 20,228.69 = 7,944.09 : x
  2. Step 2: Convert to fraction form
    14,658.46/20,228.69 = 7,944.09/x
  3. Step 3: Cross multiply
    14,658.46x = 20,228.69 × 7,944.09
  4. Step 4: Simplify right side
    14,658.46x = 160,698,412.94
  5. Step 5: Solve for x
    x = 160,698,412.94/14,658.46
  6. Step 6: Final answer
    x = 10,962.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.