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Finding the Fourth Proportional to 6,648.24, 9,973.26 and 2,264.52

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Solution

The fourth proportional to 6,648.24, 9,973.26 and 2,264.52 is: 3,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.24 : 9,973.26 = 2,264.52 : x
  2. Step 2: Convert to fraction form
    6,648.24/9,973.26 = 2,264.52/x
  3. Step 3: Cross multiply
    6,648.24x = 9,973.26 × 2,264.52
  4. Step 4: Simplify right side
    6,648.24x = 22,584,646.74
  5. Step 5: Solve for x
    x = 22,584,646.74/6,648.24
  6. Step 6: Final answer
    x = 3,397.09

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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.