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Finding the Fourth Proportional to 9,293.92, 13,922.71 and 6,164.62

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Solution

The fourth proportional to 9,293.92, 13,922.71 and 6,164.62 is: 9,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.92 : 13,922.71 = 6,164.62 : x
  2. Step 2: Convert to fraction form
    9,293.92/13,922.71 = 6,164.62/x
  3. Step 3: Cross multiply
    9,293.92x = 13,922.71 × 6,164.62
  4. Step 4: Simplify right side
    9,293.92x = 85,828,216.52
  5. Step 5: Solve for x
    x = 85,828,216.52/9,293.92
  6. Step 6: Final answer
    x = 9,234.88

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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.