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Finding the Fourth Proportional to 12,649.34, 17,463.07 and 7,614.80

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Solution

The fourth proportional to 12,649.34, 17,463.07 and 7,614.80 is: 10,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.34 : 17,463.07 = 7,614.80 : x
  2. Step 2: Convert to fraction form
    12,649.34/17,463.07 = 7,614.80/x
  3. Step 3: Cross multiply
    12,649.34x = 17,463.07 × 7,614.80
  4. Step 4: Simplify right side
    12,649.34x = 132,977,785.44
  5. Step 5: Solve for x
    x = 132,977,785.44/12,649.34
  6. Step 6: Final answer
    x = 10,512.63

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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.