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Finding the Fourth Proportional to 11,955.25, 16,496.82 and 6,919.68

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Solution

The fourth proportional to 11,955.25, 16,496.82 and 6,919.68 is: 9,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.25 : 16,496.82 = 6,919.68 : x
  2. Step 2: Convert to fraction form
    11,955.25/16,496.82 = 6,919.68/x
  3. Step 3: Cross multiply
    11,955.25x = 16,496.82 × 6,919.68
  4. Step 4: Simplify right side
    11,955.25x = 114,152,715.42
  5. Step 5: Solve for x
    x = 114,152,715.42/11,955.25
  6. Step 6: Final answer
    x = 9,548.34

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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.