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Finding the Fourth Proportional to 6,209.70, 8,567.64 and 3,689.70

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Solution

The fourth proportional to 6,209.70, 8,567.64 and 3,689.70 is: 5,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.70 : 8,567.64 = 3,689.70 : x
  2. Step 2: Convert to fraction form
    6,209.70/8,567.64 = 3,689.70/x
  3. Step 3: Cross multiply
    6,209.70x = 8,567.64 × 3,689.70
  4. Step 4: Simplify right side
    6,209.70x = 31,612,021.31
  5. Step 5: Solve for x
    x = 31,612,021.31/6,209.70
  6. Step 6: Final answer
    x = 5,090.75

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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.