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Finding the Fourth Proportional to 6,569.23, 9,855.06 and 2,128.07

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Solution

The fourth proportional to 6,569.23, 9,855.06 and 2,128.07 is: 3,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.23 : 9,855.06 = 2,128.07 : x
  2. Step 2: Convert to fraction form
    6,569.23/9,855.06 = 2,128.07/x
  3. Step 3: Cross multiply
    6,569.23x = 9,855.06 × 2,128.07
  4. Step 4: Simplify right side
    6,569.23x = 20,972,257.53
  5. Step 5: Solve for x
    x = 20,972,257.53/6,569.23
  6. Step 6: Final answer
    x = 3,192.50

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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.