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Finding the Fourth Proportional to 13,612.77, 18,785.76 and 7,644.54

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Solution

The fourth proportional to 13,612.77, 18,785.76 and 7,644.54 is: 10,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.77 : 18,785.76 = 7,644.54 : x
  2. Step 2: Convert to fraction form
    13,612.77/18,785.76 = 7,644.54/x
  3. Step 3: Cross multiply
    13,612.77x = 18,785.76 × 7,644.54
  4. Step 4: Simplify right side
    13,612.77x = 143,608,493.75
  5. Step 5: Solve for x
    x = 143,608,493.75/13,612.77
  6. Step 6: Final answer
    x = 10,549.54

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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.