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Finding the Fourth Proportional to 7,997.66, 11,047.92 and 7,577.27

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Solution

The fourth proportional to 7,997.66, 11,047.92 and 7,577.27 is: 10,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.66 : 11,047.92 = 7,577.27 : x
  2. Step 2: Convert to fraction form
    7,997.66/11,047.92 = 7,577.27/x
  3. Step 3: Cross multiply
    7,997.66x = 11,047.92 × 7,577.27
  4. Step 4: Simplify right side
    7,997.66x = 83,713,017.54
  5. Step 5: Solve for x
    x = 83,713,017.54/7,997.66
  6. Step 6: Final answer
    x = 10,467.20

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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.