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Finding the Fourth Proportional to 9,832.33, 13,568.94 and 5,583.57

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Solution

The fourth proportional to 9,832.33, 13,568.94 and 5,583.57 is: 7,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.33 : 13,568.94 = 5,583.57 : x
  2. Step 2: Convert to fraction form
    9,832.33/13,568.94 = 5,583.57/x
  3. Step 3: Cross multiply
    9,832.33x = 13,568.94 × 5,583.57
  4. Step 4: Simplify right side
    9,832.33x = 75,763,126.32
  5. Step 5: Solve for x
    x = 75,763,126.32/9,832.33
  6. Step 6: Final answer
    x = 7,705.51

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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.