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Finding the Fourth Proportional to 6,533.06, 9,786.83 and 4,342.41

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Solution

The fourth proportional to 6,533.06, 9,786.83 and 4,342.41 is: 6,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.06 : 9,786.83 = 4,342.41 : x
  2. Step 2: Convert to fraction form
    6,533.06/9,786.83 = 4,342.41/x
  3. Step 3: Cross multiply
    6,533.06x = 9,786.83 × 4,342.41
  4. Step 4: Simplify right side
    6,533.06x = 42,498,406.75
  5. Step 5: Solve for x
    x = 42,498,406.75/6,533.06
  6. Step 6: Final answer
    x = 6,505.14

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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.