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Finding the Fourth Proportional to 10,099.92, 13,937.04 and 5,623.32

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Solution

The fourth proportional to 10,099.92, 13,937.04 and 5,623.32 is: 7,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.92 : 13,937.04 = 5,623.32 : x
  2. Step 2: Convert to fraction form
    10,099.92/13,937.04 = 5,623.32/x
  3. Step 3: Cross multiply
    10,099.92x = 13,937.04 × 5,623.32
  4. Step 4: Simplify right side
    10,099.92x = 78,372,435.77
  5. Step 5: Solve for x
    x = 78,372,435.77/10,099.92
  6. Step 6: Final answer
    x = 7,759.71

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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.