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Finding the Fourth Proportional to 7,364, 10,162.14 and 4,006.73

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Solution

The fourth proportional to 7,364, 10,162.14 and 4,006.73 is: 5,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364 : 10,162.14 = 4,006.73 : x
  2. Step 2: Convert to fraction form
    7,364/10,162.14 = 4,006.73/x
  3. Step 3: Cross multiply
    7,364x = 10,162.14 × 4,006.73
  4. Step 4: Simplify right side
    7,364x = 40,716,951.20
  5. Step 5: Solve for x
    x = 40,716,951.20/7,364
  6. Step 6: Final answer
    x = 5,529.19

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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.