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Finding the Fourth Proportional to 9,609.87, 14,410.20 and 4,932.12

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Solution

The fourth proportional to 9,609.87, 14,410.20 and 4,932.12 is: 7,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.87 : 14,410.20 = 4,932.12 : x
  2. Step 2: Convert to fraction form
    9,609.87/14,410.20 = 4,932.12/x
  3. Step 3: Cross multiply
    9,609.87x = 14,410.20 × 4,932.12
  4. Step 4: Simplify right side
    9,609.87x = 71,072,835.62
  5. Step 5: Solve for x
    x = 71,072,835.62/9,609.87
  6. Step 6: Final answer
    x = 7,395.82

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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.