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Finding the Fourth Proportional to 8,077.84, 11,153.64 and 6,512.92

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Solution

The fourth proportional to 8,077.84, 11,153.64 and 6,512.92 is: 8,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.84 : 11,153.64 = 6,512.92 : x
  2. Step 2: Convert to fraction form
    8,077.84/11,153.64 = 6,512.92/x
  3. Step 3: Cross multiply
    8,077.84x = 11,153.64 × 6,512.92
  4. Step 4: Simplify right side
    8,077.84x = 72,642,765.03
  5. Step 5: Solve for x
    x = 72,642,765.03/8,077.84
  6. Step 6: Final answer
    x = 8,992.85

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Double scale
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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.