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Finding the Fourth Proportional to 8,297, 11,449.88 and 4,571

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Solution

The fourth proportional to 8,297, 11,449.88 and 4,571 is: 6,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297 : 11,449.88 = 4,571 : x
  2. Step 2: Convert to fraction form
    8,297/11,449.88 = 4,571/x
  3. Step 3: Cross multiply
    8,297x = 11,449.88 × 4,571
  4. Step 4: Simplify right side
    8,297x = 52,337,401.48
  5. Step 5: Solve for x
    x = 52,337,401.48/8,297
  6. Step 6: Final answer
    x = 6,307.99

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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.