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Finding the Fourth Proportional to 8,193.97, 12,292.08 and 2,645.47

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Solution

The fourth proportional to 8,193.97, 12,292.08 and 2,645.47 is: 3,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.97 : 12,292.08 = 2,645.47 : x
  2. Step 2: Convert to fraction form
    8,193.97/12,292.08 = 2,645.47/x
  3. Step 3: Cross multiply
    8,193.97x = 12,292.08 × 2,645.47
  4. Step 4: Simplify right side
    8,193.97x = 32,518,328.88
  5. Step 5: Solve for x
    x = 32,518,328.88/8,193.97
  6. Step 6: Final answer
    x = 3,968.57

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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.