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Finding the Fourth Proportional to 6,521.58, 9,783.59 and 2,138.47

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Solution

The fourth proportional to 6,521.58, 9,783.59 and 2,138.47 is: 3,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.58 : 9,783.59 = 2,138.47 : x
  2. Step 2: Convert to fraction form
    6,521.58/9,783.59 = 2,138.47/x
  3. Step 3: Cross multiply
    6,521.58x = 9,783.59 × 2,138.47
  4. Step 4: Simplify right side
    6,521.58x = 20,921,878.56
  5. Step 5: Solve for x
    x = 20,921,878.56/6,521.58
  6. Step 6: Final answer
    x = 3,208.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.