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Finding the Fourth Proportional to 7,734.54, 11,602.72 and 4,447.68

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Solution

The fourth proportional to 7,734.54, 11,602.72 and 4,447.68 is: 6,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.54 : 11,602.72 = 4,447.68 : x
  2. Step 2: Convert to fraction form
    7,734.54/11,602.72 = 4,447.68/x
  3. Step 3: Cross multiply
    7,734.54x = 11,602.72 × 4,447.68
  4. Step 4: Simplify right side
    7,734.54x = 51,605,185.69
  5. Step 5: Solve for x
    x = 51,605,185.69/7,734.54
  6. Step 6: Final answer
    x = 6,672.04

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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.