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Finding the Fourth Proportional to 12,310.80, 18,465.92 and 3,076.80

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Solution

The fourth proportional to 12,310.80, 18,465.92 and 3,076.80 is: 4,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.80 : 18,465.92 = 3,076.80 : x
  2. Step 2: Convert to fraction form
    12,310.80/18,465.92 = 3,076.80/x
  3. Step 3: Cross multiply
    12,310.80x = 18,465.92 × 3,076.80
  4. Step 4: Simplify right side
    12,310.80x = 56,815,942.66
  5. Step 5: Solve for x
    x = 56,815,942.66/12,310.80
  6. Step 6: Final answer
    x = 4,615.13

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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.