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Finding the Fourth Proportional to 6,297.64, 8,690.72 and 3,503.14

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Solution

The fourth proportional to 6,297.64, 8,690.72 and 3,503.14 is: 4,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.64 : 8,690.72 = 3,503.14 : x
  2. Step 2: Convert to fraction form
    6,297.64/8,690.72 = 3,503.14/x
  3. Step 3: Cross multiply
    6,297.64x = 8,690.72 × 3,503.14
  4. Step 4: Simplify right side
    6,297.64x = 30,444,808.86
  5. Step 5: Solve for x
    x = 30,444,808.86/6,297.64
  6. Step 6: Final answer
    x = 4,834.32

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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.