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Finding the Fourth Proportional to 6,297.76, 9,443.04 and 1,913.92

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Solution

The fourth proportional to 6,297.76, 9,443.04 and 1,913.92 is: 2,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.76 : 9,443.04 = 1,913.92 : x
  2. Step 2: Convert to fraction form
    6,297.76/9,443.04 = 1,913.92/x
  3. Step 3: Cross multiply
    6,297.76x = 9,443.04 × 1,913.92
  4. Step 4: Simplify right side
    6,297.76x = 18,073,223.12
  5. Step 5: Solve for x
    x = 18,073,223.12/6,297.76
  6. Step 6: Final answer
    x = 2,869.79

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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.