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Finding the Fourth Proportional to 6,044.64, 9,064.12 and 3,270.59

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Solution

The fourth proportional to 6,044.64, 9,064.12 and 3,270.59 is: 4,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.64 : 9,064.12 = 3,270.59 : x
  2. Step 2: Convert to fraction form
    6,044.64/9,064.12 = 3,270.59/x
  3. Step 3: Cross multiply
    6,044.64x = 9,064.12 × 3,270.59
  4. Step 4: Simplify right side
    6,044.64x = 29,645,020.23
  5. Step 5: Solve for x
    x = 29,645,020.23/6,044.64
  6. Step 6: Final answer
    x = 4,904.35

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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.