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Finding the Fourth Proportional to 9,906.84, 13,670.10 and 5,927.04

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Solution

The fourth proportional to 9,906.84, 13,670.10 and 5,927.04 is: 8,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.84 : 13,670.10 = 5,927.04 : x
  2. Step 2: Convert to fraction form
    9,906.84/13,670.10 = 5,927.04/x
  3. Step 3: Cross multiply
    9,906.84x = 13,670.10 × 5,927.04
  4. Step 4: Simplify right side
    9,906.84x = 81,023,229.50
  5. Step 5: Solve for x
    x = 81,023,229.50/9,906.84
  6. Step 6: Final answer
    x = 8,178.51

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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.