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Finding the Fourth Proportional to 10,773.95, 16,177.93 and 6,410.88

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Solution

The fourth proportional to 10,773.95, 16,177.93 and 6,410.88 is: 9,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.95 : 16,177.93 = 6,410.88 : x
  2. Step 2: Convert to fraction form
    10,773.95/16,177.93 = 6,410.88/x
  3. Step 3: Cross multiply
    10,773.95x = 16,177.93 × 6,410.88
  4. Step 4: Simplify right side
    10,773.95x = 103,714,751.85
  5. Step 5: Solve for x
    x = 103,714,751.85/10,773.95
  6. Step 6: Final answer
    x = 9,626.44

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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.