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Finding the Fourth Proportional to 11,578.23, 15,978.25 and 7,099.38

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Solution

The fourth proportional to 11,578.23, 15,978.25 and 7,099.38 is: 9,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.23 : 15,978.25 = 7,099.38 : x
  2. Step 2: Convert to fraction form
    11,578.23/15,978.25 = 7,099.38/x
  3. Step 3: Cross multiply
    11,578.23x = 15,978.25 × 7,099.38
  4. Step 4: Simplify right side
    11,578.23x = 113,435,668.49
  5. Step 5: Solve for x
    x = 113,435,668.49/11,578.23
  6. Step 6: Final answer
    x = 9,797.32

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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.