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Finding the Fourth Proportional to 6,502.85, 9,754.28 and 2,609.99

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Solution

The fourth proportional to 6,502.85, 9,754.28 and 2,609.99 is: 3,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.85 : 9,754.28 = 2,609.99 : x
  2. Step 2: Convert to fraction form
    6,502.85/9,754.28 = 2,609.99/x
  3. Step 3: Cross multiply
    6,502.85x = 9,754.28 × 2,609.99
  4. Step 4: Simplify right side
    6,502.85x = 25,458,511.44
  5. Step 5: Solve for x
    x = 25,458,511.44/6,502.85
  6. Step 6: Final answer
    x = 3,914.98

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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.