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Finding the Fourth Proportional to 8,007.92, 11,050.91 and 4,471.14

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Solution

The fourth proportional to 8,007.92, 11,050.91 and 4,471.14 is: 6,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.92 : 11,050.91 = 4,471.14 : x
  2. Step 2: Convert to fraction form
    8,007.92/11,050.91 = 4,471.14/x
  3. Step 3: Cross multiply
    8,007.92x = 11,050.91 × 4,471.14
  4. Step 4: Simplify right side
    8,007.92x = 49,410,165.74
  5. Step 5: Solve for x
    x = 49,410,165.74/8,007.92
  6. Step 6: Final answer
    x = 6,170.16

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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.