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Finding the Fourth Proportional to 9,699.62, 13,390.79 and 5,923.67

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Solution

The fourth proportional to 9,699.62, 13,390.79 and 5,923.67 is: 8,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.62 : 13,390.79 = 5,923.67 : x
  2. Step 2: Convert to fraction form
    9,699.62/13,390.79 = 5,923.67/x
  3. Step 3: Cross multiply
    9,699.62x = 13,390.79 × 5,923.67
  4. Step 4: Simplify right side
    9,699.62x = 79,322,524.43
  5. Step 5: Solve for x
    x = 79,322,524.43/9,699.62
  6. Step 6: Final answer
    x = 8,177.90

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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.