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Finding the Fourth Proportional to 12,305.05, 16,975.07 and 8,054.24

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Solution

The fourth proportional to 12,305.05, 16,975.07 and 8,054.24 is: 11,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.05 : 16,975.07 = 8,054.24 : x
  2. Step 2: Convert to fraction form
    12,305.05/16,975.07 = 8,054.24/x
  3. Step 3: Cross multiply
    12,305.05x = 16,975.07 × 8,054.24
  4. Step 4: Simplify right side
    12,305.05x = 136,721,247.53
  5. Step 5: Solve for x
    x = 136,721,247.53/12,305.05
  6. Step 6: Final answer
    x = 11,110.99

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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.