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Finding the Fourth Proportional to 11,995.68, 16,546.78 and 7,740.08

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Solution

The fourth proportional to 11,995.68, 16,546.78 and 7,740.08 is: 10,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.68 : 16,546.78 = 7,740.08 : x
  2. Step 2: Convert to fraction form
    11,995.68/16,546.78 = 7,740.08/x
  3. Step 3: Cross multiply
    11,995.68x = 16,546.78 × 7,740.08
  4. Step 4: Simplify right side
    11,995.68x = 128,073,400.94
  5. Step 5: Solve for x
    x = 128,073,400.94/11,995.68
  6. Step 6: Final answer
    x = 10,676.63

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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.