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Finding the Fourth Proportional to 6,533.18, 9,802.20 and 3,068

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Solution

The fourth proportional to 6,533.18, 9,802.20 and 3,068 is: 4,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.18 : 9,802.20 = 3,068 : x
  2. Step 2: Convert to fraction form
    6,533.18/9,802.20 = 3,068/x
  3. Step 3: Cross multiply
    6,533.18x = 9,802.20 × 3,068
  4. Step 4: Simplify right side
    6,533.18x = 30,073,149.60
  5. Step 5: Solve for x
    x = 30,073,149.60/6,533.18
  6. Step 6: Final answer
    x = 4,603.14

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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.