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Finding the Fourth Proportional to 5,847.50, 8,069.74 and 3,363.50

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Solution

The fourth proportional to 5,847.50, 8,069.74 and 3,363.50 is: 4,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.50 : 8,069.74 = 3,363.50 : x
  2. Step 2: Convert to fraction form
    5,847.50/8,069.74 = 3,363.50/x
  3. Step 3: Cross multiply
    5,847.50x = 8,069.74 × 3,363.50
  4. Step 4: Simplify right side
    5,847.50x = 27,142,570.49
  5. Step 5: Solve for x
    x = 27,142,570.49/5,847.50
  6. Step 6: Final answer
    x = 4,641.74

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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.