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Finding the Fourth Proportional to 6,784.86, 9,363.08 and 3,800.74

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Solution

The fourth proportional to 6,784.86, 9,363.08 and 3,800.74 is: 5,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.86 : 9,363.08 = 3,800.74 : x
  2. Step 2: Convert to fraction form
    6,784.86/9,363.08 = 3,800.74/x
  3. Step 3: Cross multiply
    6,784.86x = 9,363.08 × 3,800.74
  4. Step 4: Simplify right side
    6,784.86x = 35,586,632.68
  5. Step 5: Solve for x
    x = 35,586,632.68/6,784.86
  6. Step 6: Final answer
    x = 5,245.01

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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.