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Finding the Fourth Proportional to 12,000.80, 17,967.80 and 8,046.64

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Solution

The fourth proportional to 12,000.80, 17,967.80 and 8,046.64 is: 12,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.80 : 17,967.80 = 8,046.64 : x
  2. Step 2: Convert to fraction form
    12,000.80/17,967.80 = 8,046.64/x
  3. Step 3: Cross multiply
    12,000.80x = 17,967.80 × 8,046.64
  4. Step 4: Simplify right side
    12,000.80x = 144,580,418.19
  5. Step 5: Solve for x
    x = 144,580,418.19/12,000.80
  6. Step 6: Final answer
    x = 12,047.57

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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.