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Finding the Fourth Proportional to 8,414.99, 11,612.16 and 4,638.19

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Solution

The fourth proportional to 8,414.99, 11,612.16 and 4,638.19 is: 6,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.99 : 11,612.16 = 4,638.19 : x
  2. Step 2: Convert to fraction form
    8,414.99/11,612.16 = 4,638.19/x
  3. Step 3: Cross multiply
    8,414.99x = 11,612.16 × 4,638.19
  4. Step 4: Simplify right side
    8,414.99x = 53,859,377.52
  5. Step 5: Solve for x
    x = 53,859,377.52/8,414.99
  6. Step 6: Final answer
    x = 6,400.41

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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.