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Finding the Fourth Proportional to 14,822.92, 20,454.75 and 8,448.64

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Solution

The fourth proportional to 14,822.92, 20,454.75 and 8,448.64 is: 11,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.92 : 20,454.75 = 8,448.64 : x
  2. Step 2: Convert to fraction form
    14,822.92/20,454.75 = 8,448.64/x
  3. Step 3: Cross multiply
    14,822.92x = 20,454.75 × 8,448.64
  4. Step 4: Simplify right side
    14,822.92x = 172,814,819.04
  5. Step 5: Solve for x
    x = 172,814,819.04/14,822.92
  6. Step 6: Final answer
    x = 11,658.62

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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.