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Finding the Fourth Proportional to 6,940.71, 10,412.10 and 2,009.70

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Solution

The fourth proportional to 6,940.71, 10,412.10 and 2,009.70 is: 3,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.71 : 10,412.10 = 2,009.70 : x
  2. Step 2: Convert to fraction form
    6,940.71/10,412.10 = 2,009.70/x
  3. Step 3: Cross multiply
    6,940.71x = 10,412.10 × 2,009.70
  4. Step 4: Simplify right side
    6,940.71x = 20,925,197.37
  5. Step 5: Solve for x
    x = 20,925,197.37/6,940.71
  6. Step 6: Final answer
    x = 3,014.85

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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.