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Finding the Fourth Proportional to 8,567.96, 12,853.74 and 3,021.44

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Solution

The fourth proportional to 8,567.96, 12,853.74 and 3,021.44 is: 4,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.96 : 12,853.74 = 3,021.44 : x
  2. Step 2: Convert to fraction form
    8,567.96/12,853.74 = 3,021.44/x
  3. Step 3: Cross multiply
    8,567.96x = 12,853.74 × 3,021.44
  4. Step 4: Simplify right side
    8,567.96x = 38,836,804.19
  5. Step 5: Solve for x
    x = 38,836,804.19/8,567.96
  6. Step 6: Final answer
    x = 4,532.79

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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.