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Finding the Fourth Proportional to 9,599.88, 14,399.82 and 5,493

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Solution

The fourth proportional to 9,599.88, 14,399.82 and 5,493 is: 8,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.88 : 14,399.82 = 5,493 : x
  2. Step 2: Convert to fraction form
    9,599.88/14,399.82 = 5,493/x
  3. Step 3: Cross multiply
    9,599.88x = 14,399.82 × 5,493
  4. Step 4: Simplify right side
    9,599.88x = 79,098,211.26
  5. Step 5: Solve for x
    x = 79,098,211.26/9,599.88
  6. Step 6: Final answer
    x = 8,239.50

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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.