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Finding the Fourth Proportional to 9,578.56, 13,202.40 and 7,579.84

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Solution

The fourth proportional to 9,578.56, 13,202.40 and 7,579.84 is: 10,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.56 : 13,202.40 = 7,579.84 : x
  2. Step 2: Convert to fraction form
    9,578.56/13,202.40 = 7,579.84/x
  3. Step 3: Cross multiply
    9,578.56x = 13,202.40 × 7,579.84
  4. Step 4: Simplify right side
    9,578.56x = 100,072,079.62
  5. Step 5: Solve for x
    x = 100,072,079.62/9,578.56
  6. Step 6: Final answer
    x = 10,447.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.