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Finding the Fourth Proportional to 9,700.62, 13,392.17 and 5,924.67

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Solution

The fourth proportional to 9,700.62, 13,392.17 and 5,924.67 is: 8,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.62 : 13,392.17 = 5,924.67 : x
  2. Step 2: Convert to fraction form
    9,700.62/13,392.17 = 5,924.67/x
  3. Step 3: Cross multiply
    9,700.62x = 13,392.17 × 5,924.67
  4. Step 4: Simplify right side
    9,700.62x = 79,344,187.83
  5. Step 5: Solve for x
    x = 79,344,187.83/9,700.62
  6. Step 6: Final answer
    x = 8,179.29

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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.