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Finding the Fourth Proportional to 11,878.56, 17,817.84 and 3,114.24

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Solution

The fourth proportional to 11,878.56, 17,817.84 and 3,114.24 is: 4,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.56 : 17,817.84 = 3,114.24 : x
  2. Step 2: Convert to fraction form
    11,878.56/17,817.84 = 3,114.24/x
  3. Step 3: Cross multiply
    11,878.56x = 17,817.84 × 3,114.24
  4. Step 4: Simplify right side
    11,878.56x = 55,489,030.04
  5. Step 5: Solve for x
    x = 55,489,030.04/11,878.56
  6. Step 6: Final answer
    x = 4,671.36

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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.