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Finding the Fourth Proportional to 10,906.84, 16,360.08 and 2,698.84

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Solution

The fourth proportional to 10,906.84, 16,360.08 and 2,698.84 is: 4,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.84 : 16,360.08 = 2,698.84 : x
  2. Step 2: Convert to fraction form
    10,906.84/16,360.08 = 2,698.84/x
  3. Step 3: Cross multiply
    10,906.84x = 16,360.08 × 2,698.84
  4. Step 4: Simplify right side
    10,906.84x = 44,153,238.31
  5. Step 5: Solve for x
    x = 44,153,238.31/10,906.84
  6. Step 6: Final answer
    x = 4,048.22

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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.