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Finding the Fourth Proportional to 9,951.54, 13,731.37 and 5,644.41

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Solution

The fourth proportional to 9,951.54, 13,731.37 and 5,644.41 is: 7,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.54 : 13,731.37 = 5,644.41 : x
  2. Step 2: Convert to fraction form
    9,951.54/13,731.37 = 5,644.41/x
  3. Step 3: Cross multiply
    9,951.54x = 13,731.37 × 5,644.41
  4. Step 4: Simplify right side
    9,951.54x = 77,505,482.14
  5. Step 5: Solve for x
    x = 77,505,482.14/9,951.54
  6. Step 6: Final answer
    x = 7,788.29

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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.