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Finding the Fourth Proportional to 6,297.15, 8,689.50 and 3,464.55

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Solution

The fourth proportional to 6,297.15, 8,689.50 and 3,464.55 is: 4,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.15 : 8,689.50 = 3,464.55 : x
  2. Step 2: Convert to fraction form
    6,297.15/8,689.50 = 3,464.55/x
  3. Step 3: Cross multiply
    6,297.15x = 8,689.50 × 3,464.55
  4. Step 4: Simplify right side
    6,297.15x = 30,105,207.23
  5. Step 5: Solve for x
    x = 30,105,207.23/6,297.15
  6. Step 6: Final answer
    x = 4,780.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.