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Finding the Fourth Proportional to 8,366, 11,545.32 and 4,640.24

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Solution

The fourth proportional to 8,366, 11,545.32 and 4,640.24 is: 6,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366 : 11,545.32 = 4,640.24 : x
  2. Step 2: Convert to fraction form
    8,366/11,545.32 = 4,640.24/x
  3. Step 3: Cross multiply
    8,366x = 11,545.32 × 4,640.24
  4. Step 4: Simplify right side
    8,366x = 53,573,055.68
  5. Step 5: Solve for x
    x = 53,573,055.68/8,366
  6. Step 6: Final answer
    x = 6,403.66

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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.