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Finding the Fourth Proportional to 12,305.52, 16,975.71 and 8,054.71

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Solution

The fourth proportional to 12,305.52, 16,975.71 and 8,054.71 is: 11,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.52 : 16,975.71 = 8,054.71 : x
  2. Step 2: Convert to fraction form
    12,305.52/16,975.71 = 8,054.71/x
  3. Step 3: Cross multiply
    12,305.52x = 16,975.71 × 8,054.71
  4. Step 4: Simplify right side
    12,305.52x = 136,734,348.45
  5. Step 5: Solve for x
    x = 136,734,348.45/12,305.52
  6. Step 6: Final answer
    x = 11,111.63

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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.