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Finding the Fourth Proportional to 6,992.76, 9,649.62 and 3,849.06

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Solution

The fourth proportional to 6,992.76, 9,649.62 and 3,849.06 is: 5,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.76 : 9,649.62 = 3,849.06 : x
  2. Step 2: Convert to fraction form
    6,992.76/9,649.62 = 3,849.06/x
  3. Step 3: Cross multiply
    6,992.76x = 9,649.62 × 3,849.06
  4. Step 4: Simplify right side
    6,992.76x = 37,141,966.36
  5. Step 5: Solve for x
    x = 37,141,966.36/6,992.76
  6. Step 6: Final answer
    x = 5,311.49

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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.