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Finding the Fourth Proportional to 11,471.04, 17,180.88 and 9,971.04

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Solution

The fourth proportional to 11,471.04, 17,180.88 and 9,971.04 is: 14,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.04 : 17,180.88 = 9,971.04 : x
  2. Step 2: Convert to fraction form
    11,471.04/17,180.88 = 9,971.04/x
  3. Step 3: Cross multiply
    11,471.04x = 17,180.88 × 9,971.04
  4. Step 4: Simplify right side
    11,471.04x = 171,311,241.72
  5. Step 5: Solve for x
    x = 171,311,241.72/11,471.04
  6. Step 6: Final answer
    x = 14,934.24

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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.