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Finding the Fourth Proportional to 6,944.92, 10,389.74 and 6,031.24

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Solution

The fourth proportional to 6,944.92, 10,389.74 and 6,031.24 is: 9,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.92 : 10,389.74 = 6,031.24 : x
  2. Step 2: Convert to fraction form
    6,944.92/10,389.74 = 6,031.24/x
  3. Step 3: Cross multiply
    6,944.92x = 10,389.74 × 6,031.24
  4. Step 4: Simplify right side
    6,944.92x = 62,663,015.48
  5. Step 5: Solve for x
    x = 62,663,015.48/6,944.92
  6. Step 6: Final answer
    x = 9,022.86

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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.