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Finding the Fourth Proportional to 6,297.57, 9,446.37 and 2,830.77

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Solution

The fourth proportional to 6,297.57, 9,446.37 and 2,830.77 is: 4,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.57 : 9,446.37 = 2,830.77 : x
  2. Step 2: Convert to fraction form
    6,297.57/9,446.37 = 2,830.77/x
  3. Step 3: Cross multiply
    6,297.57x = 9,446.37 × 2,830.77
  4. Step 4: Simplify right side
    6,297.57x = 26,740,500.80
  5. Step 5: Solve for x
    x = 26,740,500.80/6,297.57
  6. Step 6: Final answer
    x = 4,246.16

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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.