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Finding the Fourth Proportional to 6,533.82, 9,803.16 and 2,834.64

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Solution

The fourth proportional to 6,533.82, 9,803.16 and 2,834.64 is: 4,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.82 : 9,803.16 = 2,834.64 : x
  2. Step 2: Convert to fraction form
    6,533.82/9,803.16 = 2,834.64/x
  3. Step 3: Cross multiply
    6,533.82x = 9,803.16 × 2,834.64
  4. Step 4: Simplify right side
    6,533.82x = 27,788,429.46
  5. Step 5: Solve for x
    x = 27,788,429.46/6,533.82
  6. Step 6: Final answer
    x = 4,253.01

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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.