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Finding the Fourth Proportional to 11,873.66, 16,383.44 and 7,625.48

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Solution

The fourth proportional to 11,873.66, 16,383.44 and 7,625.48 is: 10,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.66 : 16,383.44 = 7,625.48 : x
  2. Step 2: Convert to fraction form
    11,873.66/16,383.44 = 7,625.48/x
  3. Step 3: Cross multiply
    11,873.66x = 16,383.44 × 7,625.48
  4. Step 4: Simplify right side
    11,873.66x = 124,931,594.05
  5. Step 5: Solve for x
    x = 124,931,594.05/11,873.66
  6. Step 6: Final answer
    x = 10,521.74

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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.