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Finding the Fourth Proportional to 6,521.06, 9,782.04 and 2,625.50

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Solution

The fourth proportional to 6,521.06, 9,782.04 and 2,625.50 is: 3,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.06 : 9,782.04 = 2,625.50 : x
  2. Step 2: Convert to fraction form
    6,521.06/9,782.04 = 2,625.50/x
  3. Step 3: Cross multiply
    6,521.06x = 9,782.04 × 2,625.50
  4. Step 4: Simplify right side
    6,521.06x = 25,682,746.02
  5. Step 5: Solve for x
    x = 25,682,746.02/6,521.06
  6. Step 6: Final answer
    x = 3,938.43

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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.