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Finding the Fourth Proportional to 6,533.51, 9,798.51 and 2,834.87

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Solution

The fourth proportional to 6,533.51, 9,798.51 and 2,834.87 is: 4,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.51 : 9,798.51 = 2,834.87 : x
  2. Step 2: Convert to fraction form
    6,533.51/9,798.51 = 2,834.87/x
  3. Step 3: Cross multiply
    6,533.51x = 9,798.51 × 2,834.87
  4. Step 4: Simplify right side
    6,533.51x = 27,777,502.04
  5. Step 5: Solve for x
    x = 27,777,502.04/6,533.51
  6. Step 6: Final answer
    x = 4,251.54

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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.