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Finding the Fourth Proportional to 8,229.92, 11,357 and 4,694.26

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Solution

The fourth proportional to 8,229.92, 11,357 and 4,694.26 is: 6,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.92 : 11,357 = 4,694.26 : x
  2. Step 2: Convert to fraction form
    8,229.92/11,357 = 4,694.26/x
  3. Step 3: Cross multiply
    8,229.92x = 11,357 × 4,694.26
  4. Step 4: Simplify right side
    8,229.92x = 53,312,710.82
  5. Step 5: Solve for x
    x = 53,312,710.82/8,229.92
  6. Step 6: Final answer
    x = 6,477.91

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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.