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Finding the Fourth Proportional to 6,539.54, 9,807.92 and 2,155.95

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Solution

The fourth proportional to 6,539.54, 9,807.92 and 2,155.95 is: 3,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.54 : 9,807.92 = 2,155.95 : x
  2. Step 2: Convert to fraction form
    6,539.54/9,807.92 = 2,155.95/x
  3. Step 3: Cross multiply
    6,539.54x = 9,807.92 × 2,155.95
  4. Step 4: Simplify right side
    6,539.54x = 21,145,374.34
  5. Step 5: Solve for x
    x = 21,145,374.34/6,539.54
  6. Step 6: Final answer
    x = 3,233.47

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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.