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Finding the Fourth Proportional to 17,649, 26,485.65 and 7,260.75

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Solution

The fourth proportional to 17,649, 26,485.65 and 7,260.75 is: 10,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649 : 26,485.65 = 7,260.75 : x
  2. Step 2: Convert to fraction form
    17,649/26,485.65 = 7,260.75/x
  3. Step 3: Cross multiply
    17,649x = 26,485.65 × 7,260.75
  4. Step 4: Simplify right side
    17,649x = 192,305,683.24
  5. Step 5: Solve for x
    x = 192,305,683.24/17,649
  6. Step 6: Final answer
    x = 10,896.12

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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.