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Finding the Fourth Proportional to 11,840.77, 16,339.08 and 6,736.15

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Solution

The fourth proportional to 11,840.77, 16,339.08 and 6,736.15 is: 9,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.77 : 16,339.08 = 6,736.15 : x
  2. Step 2: Convert to fraction form
    11,840.77/16,339.08 = 6,736.15/x
  3. Step 3: Cross multiply
    11,840.77x = 16,339.08 × 6,736.15
  4. Step 4: Simplify right side
    11,840.77x = 110,062,493.74
  5. Step 5: Solve for x
    x = 110,062,493.74/11,840.77
  6. Step 6: Final answer
    x = 9,295.21

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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.