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Finding the Fourth Proportional to 11,844.86, 16,330.84 and 8,388

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Solution

The fourth proportional to 11,844.86, 16,330.84 and 8,388 is: 11,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.86 : 16,330.84 = 8,388 : x
  2. Step 2: Convert to fraction form
    11,844.86/16,330.84 = 8,388/x
  3. Step 3: Cross multiply
    11,844.86x = 16,330.84 × 8,388
  4. Step 4: Simplify right side
    11,844.86x = 136,983,064.95
  5. Step 5: Solve for x
    x = 136,983,064.95/11,844.86
  6. Step 6: Final answer
    x = 11,564.77

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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.