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Finding the Fourth Proportional to 8,049.96, 12,077.98 and 5,477.16

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Solution

The fourth proportional to 8,049.96, 12,077.98 and 5,477.16 is: 8,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.96 : 12,077.98 = 5,477.16 : x
  2. Step 2: Convert to fraction form
    8,049.96/12,077.98 = 5,477.16/x
  3. Step 3: Cross multiply
    8,049.96x = 12,077.98 × 5,477.16
  4. Step 4: Simplify right side
    8,049.96x = 66,153,028.94
  5. Step 5: Solve for x
    x = 66,153,028.94/8,049.96
  6. Step 6: Final answer
    x = 8,217.81

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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.