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Finding the Fourth Proportional to 8,297.70, 12,410.10 and 6,329.40

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Solution

The fourth proportional to 8,297.70, 12,410.10 and 6,329.40 is: 9,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.70 : 12,410.10 = 6,329.40 : x
  2. Step 2: Convert to fraction form
    8,297.70/12,410.10 = 6,329.40/x
  3. Step 3: Cross multiply
    8,297.70x = 12,410.10 × 6,329.40
  4. Step 4: Simplify right side
    8,297.70x = 78,548,486.94
  5. Step 5: Solve for x
    x = 78,548,486.94/8,297.70
  6. Step 6: Final answer
    x = 9,466.30

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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.