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Finding the Fourth Proportional to 12,670.80, 18,977.40 and 8,005.20

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Solution

The fourth proportional to 12,670.80, 18,977.40 and 8,005.20 is: 11,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.80 : 18,977.40 = 8,005.20 : x
  2. Step 2: Convert to fraction form
    12,670.80/18,977.40 = 8,005.20/x
  3. Step 3: Cross multiply
    12,670.80x = 18,977.40 × 8,005.20
  4. Step 4: Simplify right side
    12,670.80x = 151,917,882.48
  5. Step 5: Solve for x
    x = 151,917,882.48/12,670.80
  6. Step 6: Final answer
    x = 11,989.60

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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.