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Finding the Fourth Proportional to 11,493.25, 17,229.47 and 7,984.90

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Solution

The fourth proportional to 11,493.25, 17,229.47 and 7,984.90 is: 11,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.25 : 17,229.47 = 7,984.90 : x
  2. Step 2: Convert to fraction form
    11,493.25/17,229.47 = 7,984.90/x
  3. Step 3: Cross multiply
    11,493.25x = 17,229.47 × 7,984.90
  4. Step 4: Simplify right side
    11,493.25x = 137,575,595.00
  5. Step 5: Solve for x
    x = 137,575,595.00/11,493.25
  6. Step 6: Final answer
    x = 11,970.12

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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.