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Finding the Fourth Proportional to 8,497.80, 12,732.84 and 5,203.98

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Solution

The fourth proportional to 8,497.80, 12,732.84 and 5,203.98 is: 7,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.80 : 12,732.84 = 5,203.98 : x
  2. Step 2: Convert to fraction form
    8,497.80/12,732.84 = 5,203.98/x
  3. Step 3: Cross multiply
    8,497.80x = 12,732.84 × 5,203.98
  4. Step 4: Simplify right side
    8,497.80x = 66,261,444.70
  5. Step 5: Solve for x
    x = 66,261,444.70/8,497.80
  6. Step 6: Final answer
    x = 7,797.48

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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.