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Finding the Fourth Proportional to 5,567.94, 8,353 and 2,107.62

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Solution

The fourth proportional to 5,567.94, 8,353 and 2,107.62 is: 3,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.94 : 8,353 = 2,107.62 : x
  2. Step 2: Convert to fraction form
    5,567.94/8,353 = 2,107.62/x
  3. Step 3: Cross multiply
    5,567.94x = 8,353 × 2,107.62
  4. Step 4: Simplify right side
    5,567.94x = 17,604,949.86
  5. Step 5: Solve for x
    x = 17,604,949.86/5,567.94
  6. Step 6: Final answer
    x = 3,161.84

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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.