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Finding the Fourth Proportional to 6,539.74, 9,809.53 and 1,609.43

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Solution

The fourth proportional to 6,539.74, 9,809.53 and 1,609.43 is: 2,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.74 : 9,809.53 = 1,609.43 : x
  2. Step 2: Convert to fraction form
    6,539.74/9,809.53 = 1,609.43/x
  3. Step 3: Cross multiply
    6,539.74x = 9,809.53 × 1,609.43
  4. Step 4: Simplify right side
    6,539.74x = 15,787,698.80
  5. Step 5: Solve for x
    x = 15,787,698.80/6,539.74
  6. Step 6: Final answer
    x = 2,414.12

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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.