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Finding the Fourth Proportional to 7,186.77, 10,780.32 and 1,992.69

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Solution

The fourth proportional to 7,186.77, 10,780.32 and 1,992.69 is: 2,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.77 : 10,780.32 = 1,992.69 : x
  2. Step 2: Convert to fraction form
    7,186.77/10,780.32 = 1,992.69/x
  3. Step 3: Cross multiply
    7,186.77x = 10,780.32 × 1,992.69
  4. Step 4: Simplify right side
    7,186.77x = 21,481,835.86
  5. Step 5: Solve for x
    x = 21,481,835.86/7,186.77
  6. Step 6: Final answer
    x = 2,989.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.