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Finding the Fourth Proportional to 8,449.77, 11,662.01 and 5,047.17

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Solution

The fourth proportional to 8,449.77, 11,662.01 and 5,047.17 is: 6,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.77 : 11,662.01 = 5,047.17 : x
  2. Step 2: Convert to fraction form
    8,449.77/11,662.01 = 5,047.17/x
  3. Step 3: Cross multiply
    8,449.77x = 11,662.01 × 5,047.17
  4. Step 4: Simplify right side
    8,449.77x = 58,860,147.01
  5. Step 5: Solve for x
    x = 58,860,147.01/8,449.77
  6. Step 6: Final answer
    x = 6,965.89

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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.