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Finding the Fourth Proportional to 8,314.95, 11,469.65 and 6,074.09

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Solution

The fourth proportional to 8,314.95, 11,469.65 and 6,074.09 is: 8,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.95 : 11,469.65 = 6,074.09 : x
  2. Step 2: Convert to fraction form
    8,314.95/11,469.65 = 6,074.09/x
  3. Step 3: Cross multiply
    8,314.95x = 11,469.65 × 6,074.09
  4. Step 4: Simplify right side
    8,314.95x = 69,667,675.83
  5. Step 5: Solve for x
    x = 69,667,675.83/8,314.95
  6. Step 6: Final answer
    x = 8,378.60

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Half scale
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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.