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Finding the Fourth Proportional to 11,896.58, 16,416.74 and 6,519

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Solution

The fourth proportional to 11,896.58, 16,416.74 and 6,519 is: 8,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.58 : 16,416.74 = 6,519 : x
  2. Step 2: Convert to fraction form
    11,896.58/16,416.74 = 6,519/x
  3. Step 3: Cross multiply
    11,896.58x = 16,416.74 × 6,519
  4. Step 4: Simplify right side
    11,896.58x = 107,020,728.06
  5. Step 5: Solve for x
    x = 107,020,728.06/11,896.58
  6. Step 6: Final answer
    x = 8,995.92

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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.