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Finding the Fourth Proportional to 6,648.30, 9,973.91 and 1,967.95

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Solution

The fourth proportional to 6,648.30, 9,973.91 and 1,967.95 is: 2,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.30 : 9,973.91 = 1,967.95 : x
  2. Step 2: Convert to fraction form
    6,648.30/9,973.91 = 1,967.95/x
  3. Step 3: Cross multiply
    6,648.30x = 9,973.91 × 1,967.95
  4. Step 4: Simplify right side
    6,648.30x = 19,628,156.18
  5. Step 5: Solve for x
    x = 19,628,156.18/6,648.30
  6. Step 6: Final answer
    x = 2,952.36

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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.