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Finding the Fourth Proportional to 9,775.94, 13,489.92 and 5,796.41

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Solution

The fourth proportional to 9,775.94, 13,489.92 and 5,796.41 is: 7,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.94 : 13,489.92 = 5,796.41 : x
  2. Step 2: Convert to fraction form
    9,775.94/13,489.92 = 5,796.41/x
  3. Step 3: Cross multiply
    9,775.94x = 13,489.92 × 5,796.41
  4. Step 4: Simplify right side
    9,775.94x = 78,193,039.74
  5. Step 5: Solve for x
    x = 78,193,039.74/9,775.94
  6. Step 6: Final answer
    x = 7,998.52

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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.