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Finding the Fourth Proportional to 6,124.95, 9,194.25 and 5,723.40

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Solution

The fourth proportional to 6,124.95, 9,194.25 and 5,723.40 is: 8,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.95 : 9,194.25 = 5,723.40 : x
  2. Step 2: Convert to fraction form
    6,124.95/9,194.25 = 5,723.40/x
  3. Step 3: Cross multiply
    6,124.95x = 9,194.25 × 5,723.40
  4. Step 4: Simplify right side
    6,124.95x = 52,622,370.45
  5. Step 5: Solve for x
    x = 52,622,370.45/6,124.95
  6. Step 6: Final answer
    x = 8,591.48

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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.