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Finding the Fourth Proportional to 9,719.94, 13,414.20 and 5,471.41

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Solution

The fourth proportional to 9,719.94, 13,414.20 and 5,471.41 is: 7,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.94 : 13,414.20 = 5,471.41 : x
  2. Step 2: Convert to fraction form
    9,719.94/13,414.20 = 5,471.41/x
  3. Step 3: Cross multiply
    9,719.94x = 13,414.20 × 5,471.41
  4. Step 4: Simplify right side
    9,719.94x = 73,394,588.02
  5. Step 5: Solve for x
    x = 73,394,588.02/9,719.94
  6. Step 6: Final answer
    x = 7,550.93

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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.