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Finding the Fourth Proportional to 9,119.05, 13,705.44 and 7,568.98

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Solution

The fourth proportional to 9,119.05, 13,705.44 and 7,568.98 is: 11,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.05 : 13,705.44 = 7,568.98 : x
  2. Step 2: Convert to fraction form
    9,119.05/13,705.44 = 7,568.98/x
  3. Step 3: Cross multiply
    9,119.05x = 13,705.44 × 7,568.98
  4. Step 4: Simplify right side
    9,119.05x = 103,736,201.25
  5. Step 5: Solve for x
    x = 103,736,201.25/9,119.05
  6. Step 6: Final answer
    x = 11,375.77

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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.