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Finding the Fourth Proportional to 14,700.75, 20,286.58 and 7,986.13

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Solution

The fourth proportional to 14,700.75, 20,286.58 and 7,986.13 is: 11,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.75 : 20,286.58 = 7,986.13 : x
  2. Step 2: Convert to fraction form
    14,700.75/20,286.58 = 7,986.13/x
  3. Step 3: Cross multiply
    14,700.75x = 20,286.58 × 7,986.13
  4. Step 4: Simplify right side
    14,700.75x = 162,011,265.14
  5. Step 5: Solve for x
    x = 162,011,265.14/14,700.75
  6. Step 6: Final answer
    x = 11,020.61

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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.