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Finding the Fourth Proportional to 11,674.01, 17,517.14 and 7,003.40

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Solution

The fourth proportional to 11,674.01, 17,517.14 and 7,003.40 is: 10,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.01 : 17,517.14 = 7,003.40 : x
  2. Step 2: Convert to fraction form
    11,674.01/17,517.14 = 7,003.40/x
  3. Step 3: Cross multiply
    11,674.01x = 17,517.14 × 7,003.40
  4. Step 4: Simplify right side
    11,674.01x = 122,679,538.28
  5. Step 5: Solve for x
    x = 122,679,538.28/11,674.01
  6. Step 6: Final answer
    x = 10,508.77

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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.