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Finding the Fourth Proportional to 6,992.50, 9,649.74 and 3,848.77

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Solution

The fourth proportional to 6,992.50, 9,649.74 and 3,848.77 is: 5,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.50 : 9,649.74 = 3,848.77 : x
  2. Step 2: Convert to fraction form
    6,992.50/9,649.74 = 3,848.77/x
  3. Step 3: Cross multiply
    6,992.50x = 9,649.74 × 3,848.77
  4. Step 4: Simplify right side
    6,992.50x = 37,139,629.82
  5. Step 5: Solve for x
    x = 37,139,629.82/6,992.50
  6. Step 6: Final answer
    x = 5,311.35

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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.