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Finding the Fourth Proportional to 7,803.71, 11,705.52 and 2,609.54

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Solution

The fourth proportional to 7,803.71, 11,705.52 and 2,609.54 is: 3,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.71 : 11,705.52 = 2,609.54 : x
  2. Step 2: Convert to fraction form
    7,803.71/11,705.52 = 2,609.54/x
  3. Step 3: Cross multiply
    7,803.71x = 11,705.52 × 2,609.54
  4. Step 4: Simplify right side
    7,803.71x = 30,546,022.66
  5. Step 5: Solve for x
    x = 30,546,022.66/7,803.71
  6. Step 6: Final answer
    x = 3,914.29

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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.