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Finding the Fourth Proportional to 11,808.81, 16,296.03 and 6,503.49

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Solution

The fourth proportional to 11,808.81, 16,296.03 and 6,503.49 is: 8,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.81 : 16,296.03 = 6,503.49 : x
  2. Step 2: Convert to fraction form
    11,808.81/16,296.03 = 6,503.49/x
  3. Step 3: Cross multiply
    11,808.81x = 16,296.03 × 6,503.49
  4. Step 4: Simplify right side
    11,808.81x = 105,981,068.14
  5. Step 5: Solve for x
    x = 105,981,068.14/11,808.81
  6. Step 6: Final answer
    x = 8,974.75

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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.