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Finding the Fourth Proportional to 9,508.54, 14,208.43 and 7,244.62

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Solution

The fourth proportional to 9,508.54, 14,208.43 and 7,244.62 is: 10,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.54 : 14,208.43 = 7,244.62 : x
  2. Step 2: Convert to fraction form
    9,508.54/14,208.43 = 7,244.62/x
  3. Step 3: Cross multiply
    9,508.54x = 14,208.43 × 7,244.62
  4. Step 4: Simplify right side
    9,508.54x = 102,934,702.44
  5. Step 5: Solve for x
    x = 102,934,702.44/9,508.54
  6. Step 6: Final answer
    x = 10,825.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.