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Finding the Fourth Proportional to 7,472.64, 10,308.96 and 5,794.56

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Solution

The fourth proportional to 7,472.64, 10,308.96 and 5,794.56 is: 7,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.64 : 10,308.96 = 5,794.56 : x
  2. Step 2: Convert to fraction form
    7,472.64/10,308.96 = 5,794.56/x
  3. Step 3: Cross multiply
    7,472.64x = 10,308.96 × 5,794.56
  4. Step 4: Simplify right side
    7,472.64x = 59,735,887.26
  5. Step 5: Solve for x
    x = 59,735,887.26/7,472.64
  6. Step 6: Final answer
    x = 7,993.95

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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.