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Finding the Fourth Proportional to 8,374.84, 12,567.72 and 6,189.04

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Solution

The fourth proportional to 8,374.84, 12,567.72 and 6,189.04 is: 9,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.84 : 12,567.72 = 6,189.04 : x
  2. Step 2: Convert to fraction form
    8,374.84/12,567.72 = 6,189.04/x
  3. Step 3: Cross multiply
    8,374.84x = 12,567.72 × 6,189.04
  4. Step 4: Simplify right side
    8,374.84x = 77,782,121.79
  5. Step 5: Solve for x
    x = 77,782,121.79/8,374.84
  6. Step 6: Final answer
    x = 9,287.59

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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.