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Finding the Fourth Proportional to 6,266.52, 9,398.16 and 2,973.06

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Solution

The fourth proportional to 6,266.52, 9,398.16 and 2,973.06 is: 4,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.52 : 9,398.16 = 2,973.06 : x
  2. Step 2: Convert to fraction form
    6,266.52/9,398.16 = 2,973.06/x
  3. Step 3: Cross multiply
    6,266.52x = 9,398.16 × 2,973.06
  4. Step 4: Simplify right side
    6,266.52x = 27,941,293.57
  5. Step 5: Solve for x
    x = 27,941,293.57/6,266.52
  6. Step 6: Final answer
    x = 4,458.82

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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.