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Finding the Fourth Proportional to 12,149.63, 16,760.10 and 8,366.24

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Solution

The fourth proportional to 12,149.63, 16,760.10 and 8,366.24 is: 11,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.63 : 16,760.10 = 8,366.24 : x
  2. Step 2: Convert to fraction form
    12,149.63/16,760.10 = 8,366.24/x
  3. Step 3: Cross multiply
    12,149.63x = 16,760.10 × 8,366.24
  4. Step 4: Simplify right side
    12,149.63x = 140,219,019.02
  5. Step 5: Solve for x
    x = 140,219,019.02/12,149.63
  6. Step 6: Final answer
    x = 11,541.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.