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Finding the Fourth Proportional to 11,800.03, 16,284.63 and 6,494.80

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Solution

The fourth proportional to 11,800.03, 16,284.63 and 6,494.80 is: 8,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.03 : 16,284.63 = 6,494.80 : x
  2. Step 2: Convert to fraction form
    11,800.03/16,284.63 = 6,494.80/x
  3. Step 3: Cross multiply
    11,800.03x = 16,284.63 × 6,494.80
  4. Step 4: Simplify right side
    11,800.03x = 105,765,414.92
  5. Step 5: Solve for x
    x = 105,765,414.92/11,800.03
  6. Step 6: Final answer
    x = 8,963.15

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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.