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Finding the Fourth Proportional to 6,550.84, 9,813.66 and 4,086.64

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Solution

The fourth proportional to 6,550.84, 9,813.66 and 4,086.64 is: 6,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.84 : 9,813.66 = 4,086.64 : x
  2. Step 2: Convert to fraction form
    6,550.84/9,813.66 = 4,086.64/x
  3. Step 3: Cross multiply
    6,550.84x = 9,813.66 × 4,086.64
  4. Step 4: Simplify right side
    6,550.84x = 40,104,895.50
  5. Step 5: Solve for x
    x = 40,104,895.50/6,550.84
  6. Step 6: Final answer
    x = 6,122.10

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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.