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Finding the Fourth Proportional to 9,704.68, 13,391.19 and 5,724.34

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Solution

The fourth proportional to 9,704.68, 13,391.19 and 5,724.34 is: 7,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.68 : 13,391.19 = 5,724.34 : x
  2. Step 2: Convert to fraction form
    9,704.68/13,391.19 = 5,724.34/x
  3. Step 3: Cross multiply
    9,704.68x = 13,391.19 × 5,724.34
  4. Step 4: Simplify right side
    9,704.68x = 76,655,691.09
  5. Step 5: Solve for x
    x = 76,655,691.09/9,704.68
  6. Step 6: Final answer
    x = 7,898.84

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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.