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Finding the Fourth Proportional to 7,777.76, 10,733.42 and 4,240.97

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Solution

The fourth proportional to 7,777.76, 10,733.42 and 4,240.97 is: 5,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.76 : 10,733.42 = 4,240.97 : x
  2. Step 2: Convert to fraction form
    7,777.76/10,733.42 = 4,240.97/x
  3. Step 3: Cross multiply
    7,777.76x = 10,733.42 × 4,240.97
  4. Step 4: Simplify right side
    7,777.76x = 45,520,112.22
  5. Step 5: Solve for x
    x = 45,520,112.22/7,777.76
  6. Step 6: Final answer
    x = 5,852.60

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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.