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Finding the Fourth Proportional to 12,364.80, 18,542.20 and 7,677.87

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Solution

The fourth proportional to 12,364.80, 18,542.20 and 7,677.87 is: 11,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.80 : 18,542.20 = 7,677.87 : x
  2. Step 2: Convert to fraction form
    12,364.80/18,542.20 = 7,677.87/x
  3. Step 3: Cross multiply
    12,364.80x = 18,542.20 × 7,677.87
  4. Step 4: Simplify right side
    12,364.80x = 142,364,601.11
  5. Step 5: Solve for x
    x = 142,364,601.11/12,364.80
  6. Step 6: Final answer
    x = 11,513.70

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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.