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Finding the Fourth Proportional to 20,099.29, 30,148.93 and 6,944.48

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Solution

The fourth proportional to 20,099.29, 30,148.93 and 6,944.48 is: 10,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.29 : 30,148.93 = 6,944.48 : x
  2. Step 2: Convert to fraction form
    20,099.29/30,148.93 = 6,944.48/x
  3. Step 3: Cross multiply
    20,099.29x = 30,148.93 × 6,944.48
  4. Step 4: Simplify right side
    20,099.29x = 209,368,641.41
  5. Step 5: Solve for x
    x = 209,368,641.41/20,099.29
  6. Step 6: Final answer
    x = 10,416.72

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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.