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Finding the Fourth Proportional to 8,197.44, 12,356.16 and 7,496.25

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Solution

The fourth proportional to 8,197.44, 12,356.16 and 7,496.25 is: 11,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.44 : 12,356.16 = 7,496.25 : x
  2. Step 2: Convert to fraction form
    8,197.44/12,356.16 = 7,496.25/x
  3. Step 3: Cross multiply
    8,197.44x = 12,356.16 × 7,496.25
  4. Step 4: Simplify right side
    8,197.44x = 92,624,864.40
  5. Step 5: Solve for x
    x = 92,624,864.40/8,197.44
  6. Step 6: Final answer
    x = 11,299.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.