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Finding the Fourth Proportional to 8,244.92, 11,378 and 4,468.12

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Solution

The fourth proportional to 8,244.92, 11,378 and 4,468.12 is: 6,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.92 : 11,378 = 4,468.12 : x
  2. Step 2: Convert to fraction form
    8,244.92/11,378 = 4,468.12/x
  3. Step 3: Cross multiply
    8,244.92x = 11,378 × 4,468.12
  4. Step 4: Simplify right side
    8,244.92x = 50,838,269.36
  5. Step 5: Solve for x
    x = 50,838,269.36/8,244.92
  6. Step 6: Final answer
    x = 6,166.01

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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.