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Finding the Fourth Proportional to 6,808.57, 9,399.41 and 4,582.15

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Solution

The fourth proportional to 6,808.57, 9,399.41 and 4,582.15 is: 6,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.57 : 9,399.41 = 4,582.15 : x
  2. Step 2: Convert to fraction form
    6,808.57/9,399.41 = 4,582.15/x
  3. Step 3: Cross multiply
    6,808.57x = 9,399.41 × 4,582.15
  4. Step 4: Simplify right side
    6,808.57x = 43,069,506.53
  5. Step 5: Solve for x
    x = 43,069,506.53/6,808.57
  6. Step 6: Final answer
    x = 6,325.78

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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.