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Finding the Fourth Proportional to 8,444.36, 11,654.14 and 5,089.14

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Solution

The fourth proportional to 8,444.36, 11,654.14 and 5,089.14 is: 7,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.36 : 11,654.14 = 5,089.14 : x
  2. Step 2: Convert to fraction form
    8,444.36/11,654.14 = 5,089.14/x
  3. Step 3: Cross multiply
    8,444.36x = 11,654.14 × 5,089.14
  4. Step 4: Simplify right side
    8,444.36x = 59,309,550.04
  5. Step 5: Solve for x
    x = 59,309,550.04/8,444.36
  6. Step 6: Final answer
    x = 7,023.57

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Half 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.