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Finding the Fourth Proportional to 9,794.71, 13,516.73 and 5,318.49

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Solution

The fourth proportional to 9,794.71, 13,516.73 and 5,318.49 is: 7,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.71 : 13,516.73 = 5,318.49 : x
  2. Step 2: Convert to fraction form
    9,794.71/13,516.73 = 5,318.49/x
  3. Step 3: Cross multiply
    9,794.71x = 13,516.73 × 5,318.49
  4. Step 4: Simplify right side
    9,794.71x = 71,888,593.34
  5. Step 5: Solve for x
    x = 71,888,593.34/9,794.71
  6. Step 6: Final answer
    x = 7,339.53

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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.