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Finding the Fourth Proportional to 6,847.68, 10,217.73 and 6,429.72

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Solution

The fourth proportional to 6,847.68, 10,217.73 and 6,429.72 is: 9,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.68 : 10,217.73 = 6,429.72 : x
  2. Step 2: Convert to fraction form
    6,847.68/10,217.73 = 6,429.72/x
  3. Step 3: Cross multiply
    6,847.68x = 10,217.73 × 6,429.72
  4. Step 4: Simplify right side
    6,847.68x = 65,697,142.94
  5. Step 5: Solve for x
    x = 65,697,142.94/6,847.68
  6. Step 6: Final answer
    x = 9,594.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.