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Finding the Fourth Proportional to 9,394.92, 14,069.93 and 5,224.57

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Solution

The fourth proportional to 9,394.92, 14,069.93 and 5,224.57 is: 7,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.92 : 14,069.93 = 5,224.57 : x
  2. Step 2: Convert to fraction form
    9,394.92/14,069.93 = 5,224.57/x
  3. Step 3: Cross multiply
    9,394.92x = 14,069.93 × 5,224.57
  4. Step 4: Simplify right side
    9,394.92x = 73,509,272.88
  5. Step 5: Solve for x
    x = 73,509,272.88/9,394.92
  6. Step 6: Final answer
    x = 7,824.36

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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.