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Finding the Fourth Proportional to 14,649.59, 20,203.14 and 9,611.90

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Solution

The fourth proportional to 14,649.59, 20,203.14 and 9,611.90 is: 13,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.59 : 20,203.14 = 9,611.90 : x
  2. Step 2: Convert to fraction form
    14,649.59/20,203.14 = 9,611.90/x
  3. Step 3: Cross multiply
    14,649.59x = 20,203.14 × 9,611.90
  4. Step 4: Simplify right side
    14,649.59x = 194,190,496.39
  5. Step 5: Solve for x
    x = 194,190,496.39/14,649.59
  6. Step 6: Final answer
    x = 13,255.70

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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.