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Finding the Fourth Proportional to 8,567.33, 12,857.48 and 3,640.42

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Solution

The fourth proportional to 8,567.33, 12,857.48 and 3,640.42 is: 5,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.33 : 12,857.48 = 3,640.42 : x
  2. Step 2: Convert to fraction form
    8,567.33/12,857.48 = 3,640.42/x
  3. Step 3: Cross multiply
    8,567.33x = 12,857.48 × 3,640.42
  4. Step 4: Simplify right side
    8,567.33x = 46,806,627.34
  5. Step 5: Solve for x
    x = 46,806,627.34/8,567.33
  6. Step 6: Final answer
    x = 5,463.39

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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.