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Finding the Fourth Proportional to 8,077.16, 11,166.36 and 8,003.24

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Solution

The fourth proportional to 8,077.16, 11,166.36 and 8,003.24 is: 11,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.16 : 11,166.36 = 8,003.24 : x
  2. Step 2: Convert to fraction form
    8,077.16/11,166.36 = 8,003.24/x
  3. Step 3: Cross multiply
    8,077.16x = 11,166.36 × 8,003.24
  4. Step 4: Simplify right side
    8,077.16x = 89,367,059.01
  5. Step 5: Solve for x
    x = 89,367,059.01/8,077.16
  6. Step 6: Final answer
    x = 11,064.17

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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.