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Finding the Fourth Proportional to 6,528.28, 9,800.52 and 4,773.28

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Solution

The fourth proportional to 6,528.28, 9,800.52 and 4,773.28 is: 7,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.28 : 9,800.52 = 4,773.28 : x
  2. Step 2: Convert to fraction form
    6,528.28/9,800.52 = 4,773.28/x
  3. Step 3: Cross multiply
    6,528.28x = 9,800.52 × 4,773.28
  4. Step 4: Simplify right side
    6,528.28x = 46,780,626.11
  5. Step 5: Solve for x
    x = 46,780,626.11/6,528.28
  6. Step 6: Final answer
    x = 7,165.84

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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.