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Finding the Fourth Proportional to 8,617.84, 12,907.32 and 5,497.84

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Solution

The fourth proportional to 8,617.84, 12,907.32 and 5,497.84 is: 8,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.84 : 12,907.32 = 5,497.84 : x
  2. Step 2: Convert to fraction form
    8,617.84/12,907.32 = 5,497.84/x
  3. Step 3: Cross multiply
    8,617.84x = 12,907.32 × 5,497.84
  4. Step 4: Simplify right side
    8,617.84x = 70,962,380.19
  5. Step 5: Solve for x
    x = 70,962,380.19/8,617.84
  6. Step 6: Final answer
    x = 8,234.36

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1.5x scale

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.