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Finding the Fourth Proportional to 11,794.74, 16,276.41 and 6,489.56

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Solution

The fourth proportional to 11,794.74, 16,276.41 and 6,489.56 is: 8,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.74 : 16,276.41 = 6,489.56 : x
  2. Step 2: Convert to fraction form
    11,794.74/16,276.41 = 6,489.56/x
  3. Step 3: Cross multiply
    11,794.74x = 16,276.41 × 6,489.56
  4. Step 4: Simplify right side
    11,794.74x = 105,626,657.90
  5. Step 5: Solve for x
    x = 105,626,657.90/11,794.74
  6. Step 6: Final answer
    x = 8,955.40

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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.