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Finding the Fourth Proportional to 11,642.40, 17,451.12 and 6,090.12

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Solution

The fourth proportional to 11,642.40, 17,451.12 and 6,090.12 is: 9,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.40 : 17,451.12 = 6,090.12 : x
  2. Step 2: Convert to fraction form
    11,642.40/17,451.12 = 6,090.12/x
  3. Step 3: Cross multiply
    11,642.40x = 17,451.12 × 6,090.12
  4. Step 4: Simplify right side
    11,642.40x = 106,279,414.93
  5. Step 5: Solve for x
    x = 106,279,414.93/11,642.40
  6. Step 6: Final answer
    x = 9,128.65

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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.