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Finding the Fourth Proportional to 6,497, 8,965.86 and 3,553

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Solution

The fourth proportional to 6,497, 8,965.86 and 3,553 is: 4,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497 : 8,965.86 = 3,553 : x
  2. Step 2: Convert to fraction form
    6,497/8,965.86 = 3,553/x
  3. Step 3: Cross multiply
    6,497x = 8,965.86 × 3,553
  4. Step 4: Simplify right side
    6,497x = 31,855,700.58
  5. Step 5: Solve for x
    x = 31,855,700.58/6,497
  6. Step 6: Final answer
    x = 4,903.14

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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.