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Finding the Fourth Proportional to 9,592.62, 14,399.73 and 7,427.46

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Solution

The fourth proportional to 9,592.62, 14,399.73 and 7,427.46 is: 11,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.62 : 14,399.73 = 7,427.46 : x
  2. Step 2: Convert to fraction form
    9,592.62/14,399.73 = 7,427.46/x
  3. Step 3: Cross multiply
    9,592.62x = 14,399.73 × 7,427.46
  4. Step 4: Simplify right side
    9,592.62x = 106,953,418.59
  5. Step 5: Solve for x
    x = 106,953,418.59/9,592.62
  6. Step 6: Final answer
    x = 11,149.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.