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Finding the Fourth Proportional to 8,093.46, 11,168.91 and 4,557

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Solution

The fourth proportional to 8,093.46, 11,168.91 and 4,557 is: 6,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.46 : 11,168.91 = 4,557 : x
  2. Step 2: Convert to fraction form
    8,093.46/11,168.91 = 4,557/x
  3. Step 3: Cross multiply
    8,093.46x = 11,168.91 × 4,557
  4. Step 4: Simplify right side
    8,093.46x = 50,896,722.87
  5. Step 5: Solve for x
    x = 50,896,722.87/8,093.46
  6. Step 6: Final answer
    x = 6,288.62

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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.