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Finding the Fourth Proportional to 5,567.56, 7,683.12 and 3,209.56

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Solution

The fourth proportional to 5,567.56, 7,683.12 and 3,209.56 is: 4,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.56 : 7,683.12 = 3,209.56 : x
  2. Step 2: Convert to fraction form
    5,567.56/7,683.12 = 3,209.56/x
  3. Step 3: Cross multiply
    5,567.56x = 7,683.12 × 3,209.56
  4. Step 4: Simplify right side
    5,567.56x = 24,659,434.63
  5. Step 5: Solve for x
    x = 24,659,434.63/5,567.56
  6. Step 6: Final answer
    x = 4,429.13

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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.