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Finding the Fourth Proportional to 6,355.06, 9,534.17 and 2,195.03

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Solution

The fourth proportional to 6,355.06, 9,534.17 and 2,195.03 is: 3,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.06 : 9,534.17 = 2,195.03 : x
  2. Step 2: Convert to fraction form
    6,355.06/9,534.17 = 2,195.03/x
  3. Step 3: Cross multiply
    6,355.06x = 9,534.17 × 2,195.03
  4. Step 4: Simplify right side
    6,355.06x = 20,927,818.50
  5. Step 5: Solve for x
    x = 20,927,818.50/6,355.06
  6. Step 6: Final answer
    x = 3,293.10

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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.