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Finding the Fourth Proportional to 7,776.44, 11,668.11 and 4,077.80

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Solution

The fourth proportional to 7,776.44, 11,668.11 and 4,077.80 is: 6,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.44 : 11,668.11 = 4,077.80 : x
  2. Step 2: Convert to fraction form
    7,776.44/11,668.11 = 4,077.80/x
  3. Step 3: Cross multiply
    7,776.44x = 11,668.11 × 4,077.80
  4. Step 4: Simplify right side
    7,776.44x = 47,580,218.96
  5. Step 5: Solve for x
    x = 47,580,218.96/7,776.44
  6. Step 6: Final answer
    x = 6,118.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.