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Finding the Fourth Proportional to 6,477, 8,938.26 and 3,533

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Solution

The fourth proportional to 6,477, 8,938.26 and 3,533 is: 4,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 8,938.26 = 3,533 : x
  2. Step 2: Convert to fraction form
    6,477/8,938.26 = 3,533/x
  3. Step 3: Cross multiply
    6,477x = 8,938.26 × 3,533
  4. Step 4: Simplify right side
    6,477x = 31,578,872.58
  5. Step 5: Solve for x
    x = 31,578,872.58/6,477
  6. Step 6: Final answer
    x = 4,875.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.