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Finding the Fourth Proportional to 6,446.16, 8,895.92 and 6,150.92

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Solution

The fourth proportional to 6,446.16, 8,895.92 and 6,150.92 is: 8,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.16 : 8,895.92 = 6,150.92 : x
  2. Step 2: Convert to fraction form
    6,446.16/8,895.92 = 6,150.92/x
  3. Step 3: Cross multiply
    6,446.16x = 8,895.92 × 6,150.92
  4. Step 4: Simplify right side
    6,446.16x = 54,718,092.25
  5. Step 5: Solve for x
    x = 54,718,092.25/6,446.16
  6. Step 6: Final answer
    x = 8,488.48

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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.