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Finding the Fourth Proportional to 11,999.64, 16,560.02 and 6,694.46

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Solution

The fourth proportional to 11,999.64, 16,560.02 and 6,694.46 is: 9,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.64 : 16,560.02 = 6,694.46 : x
  2. Step 2: Convert to fraction form
    11,999.64/16,560.02 = 6,694.46/x
  3. Step 3: Cross multiply
    11,999.64x = 16,560.02 × 6,694.46
  4. Step 4: Simplify right side
    11,999.64x = 110,860,275.22
  5. Step 5: Solve for x
    x = 110,860,275.22/11,999.64
  6. Step 6: Final answer
    x = 9,238.63

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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.