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Finding the Fourth Proportional to 6,089.64, 9,134.43 and 1,472.64

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Solution

The fourth proportional to 6,089.64, 9,134.43 and 1,472.64 is: 2,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.64 : 9,134.43 = 1,472.64 : x
  2. Step 2: Convert to fraction form
    6,089.64/9,134.43 = 1,472.64/x
  3. Step 3: Cross multiply
    6,089.64x = 9,134.43 × 1,472.64
  4. Step 4: Simplify right side
    6,089.64x = 13,451,727.00
  5. Step 5: Solve for x
    x = 13,451,727.00/6,089.64
  6. Step 6: Final answer
    x = 2,208.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.