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Finding the Fourth Proportional to 11,811.62, 16,300.10 and 6,776.04

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Solution

The fourth proportional to 11,811.62, 16,300.10 and 6,776.04 is: 9,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.62 : 16,300.10 = 6,776.04 : x
  2. Step 2: Convert to fraction form
    11,811.62/16,300.10 = 6,776.04/x
  3. Step 3: Cross multiply
    11,811.62x = 16,300.10 × 6,776.04
  4. Step 4: Simplify right side
    11,811.62x = 110,450,129.60
  5. Step 5: Solve for x
    x = 110,450,129.60/11,811.62
  6. Step 6: Final answer
    x = 9,350.97

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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.