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Finding the Fourth Proportional to 10,649.63, 14,696.49 and 5,934.21

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Solution

The fourth proportional to 10,649.63, 14,696.49 and 5,934.21 is: 8,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.63 : 14,696.49 = 5,934.21 : x
  2. Step 2: Convert to fraction form
    10,649.63/14,696.49 = 5,934.21/x
  3. Step 3: Cross multiply
    10,649.63x = 14,696.49 × 5,934.21
  4. Step 4: Simplify right side
    10,649.63x = 87,212,057.92
  5. Step 5: Solve for x
    x = 87,212,057.92/10,649.63
  6. Step 6: Final answer
    x = 8,189.21

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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.