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Finding the Fourth Proportional to 11,593.60, 17,366.10 and 9,649.60

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Solution

The fourth proportional to 11,593.60, 17,366.10 and 9,649.60 is: 14,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.60 : 17,366.10 = 9,649.60 : x
  2. Step 2: Convert to fraction form
    11,593.60/17,366.10 = 9,649.60/x
  3. Step 3: Cross multiply
    11,593.60x = 17,366.10 × 9,649.60
  4. Step 4: Simplify right side
    11,593.60x = 167,575,918.56
  5. Step 5: Solve for x
    x = 167,575,918.56/11,593.60
  6. Step 6: Final answer
    x = 14,454.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.