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Finding the Fourth Proportional to 6,355, 9,533.94 and 2,251

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Solution

The fourth proportional to 6,355, 9,533.94 and 2,251 is: 3,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355 : 9,533.94 = 2,251 : x
  2. Step 2: Convert to fraction form
    6,355/9,533.94 = 2,251/x
  3. Step 3: Cross multiply
    6,355x = 9,533.94 × 2,251
  4. Step 4: Simplify right side
    6,355x = 21,460,898.94
  5. Step 5: Solve for x
    x = 21,460,898.94/6,355
  6. Step 6: Final answer
    x = 3,377.01

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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.