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Finding the Fourth Proportional to 6,468.75, 9,701.09 and 4,289.04

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Solution

The fourth proportional to 6,468.75, 9,701.09 and 4,289.04 is: 6,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.75 : 9,701.09 = 4,289.04 : x
  2. Step 2: Convert to fraction form
    6,468.75/9,701.09 = 4,289.04/x
  3. Step 3: Cross multiply
    6,468.75x = 9,701.09 × 4,289.04
  4. Step 4: Simplify right side
    6,468.75x = 41,608,363.05
  5. Step 5: Solve for x
    x = 41,608,363.05/6,468.75
  6. Step 6: Final answer
    x = 6,432.21

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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.