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Finding the Fourth Proportional to 6,906.84, 10,360.08 and 2,289.84

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Solution

The fourth proportional to 6,906.84, 10,360.08 and 2,289.84 is: 3,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.84 : 10,360.08 = 2,289.84 : x
  2. Step 2: Convert to fraction form
    6,906.84/10,360.08 = 2,289.84/x
  3. Step 3: Cross multiply
    6,906.84x = 10,360.08 × 2,289.84
  4. Step 4: Simplify right side
    6,906.84x = 23,722,925.59
  5. Step 5: Solve for x
    x = 23,722,925.59/6,906.84
  6. Step 6: Final answer
    x = 3,434.70

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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.