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Finding the Fourth Proportional to 6,135.94, 9,204.16 and 1,693.97

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Solution

The fourth proportional to 6,135.94, 9,204.16 and 1,693.97 is: 2,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.94 : 9,204.16 = 1,693.97 : x
  2. Step 2: Convert to fraction form
    6,135.94/9,204.16 = 1,693.97/x
  3. Step 3: Cross multiply
    6,135.94x = 9,204.16 × 1,693.97
  4. Step 4: Simplify right side
    6,135.94x = 15,591,570.92
  5. Step 5: Solve for x
    x = 15,591,570.92/6,135.94
  6. Step 6: Final answer
    x = 2,541.02

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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.