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Finding the Fourth Proportional to 11,600.64, 16,009.19 and 6,295.46

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Solution

The fourth proportional to 11,600.64, 16,009.19 and 6,295.46 is: 8,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.64 : 16,009.19 = 6,295.46 : x
  2. Step 2: Convert to fraction form
    11,600.64/16,009.19 = 6,295.46/x
  3. Step 3: Cross multiply
    11,600.64x = 16,009.19 × 6,295.46
  4. Step 4: Simplify right side
    11,600.64x = 100,785,215.28
  5. Step 5: Solve for x
    x = 100,785,215.28/11,600.64
  6. Step 6: Final answer
    x = 8,687.90

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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.