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Finding the Fourth Proportional to 11,977.61, 16,524.59 and 11,959.16

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Solution

The fourth proportional to 11,977.61, 16,524.59 and 11,959.16 is: 16,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.61 : 16,524.59 = 11,959.16 : x
  2. Step 2: Convert to fraction form
    11,977.61/16,524.59 = 11,959.16/x
  3. Step 3: Cross multiply
    11,977.61x = 16,524.59 × 11,959.16
  4. Step 4: Simplify right side
    11,977.61x = 197,620,073.33
  5. Step 5: Solve for x
    x = 197,620,073.33/11,977.61
  6. Step 6: Final answer
    x = 16,499.13

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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.