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Finding the Fourth Proportional to 11,944.16, 16,482.54 and 6,638.86

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Solution

The fourth proportional to 11,944.16, 16,482.54 and 6,638.86 is: 9,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.16 : 16,482.54 = 6,638.86 : x
  2. Step 2: Convert to fraction form
    11,944.16/16,482.54 = 6,638.86/x
  3. Step 3: Cross multiply
    11,944.16x = 16,482.54 × 6,638.86
  4. Step 4: Simplify right side
    11,944.16x = 109,425,283.66
  5. Step 5: Solve for x
    x = 109,425,283.66/11,944.16
  6. Step 6: Final answer
    x = 9,161.41

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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.