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Finding the Fourth Proportional to 11,774.02, 17,662.67 and 3,980.74

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Solution

The fourth proportional to 11,774.02, 17,662.67 and 3,980.74 is: 5,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.02 : 17,662.67 = 3,980.74 : x
  2. Step 2: Convert to fraction form
    11,774.02/17,662.67 = 3,980.74/x
  3. Step 3: Cross multiply
    11,774.02x = 17,662.67 × 3,980.74
  4. Step 4: Simplify right side
    11,774.02x = 70,310,496.98
  5. Step 5: Solve for x
    x = 70,310,496.98/11,774.02
  6. Step 6: Final answer
    x = 5,971.66

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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.