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Finding the Fourth Proportional to 11,650.50, 16,074.90 and 6,804.48

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Solution

The fourth proportional to 11,650.50, 16,074.90 and 6,804.48 is: 9,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.50 : 16,074.90 = 6,804.48 : x
  2. Step 2: Convert to fraction form
    11,650.50/16,074.90 = 6,804.48/x
  3. Step 3: Cross multiply
    11,650.50x = 16,074.90 × 6,804.48
  4. Step 4: Simplify right side
    11,650.50x = 109,381,335.55
  5. Step 5: Solve for x
    x = 109,381,335.55/11,650.50
  6. Step 6: Final answer
    x = 9,388.55

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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.