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Finding the Fourth Proportional to 4,447.84, 6,137.92 and 2,458.48

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Solution

The fourth proportional to 4,447.84, 6,137.92 and 2,458.48 is: 3,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.84 : 6,137.92 = 2,458.48 : x
  2. Step 2: Convert to fraction form
    4,447.84/6,137.92 = 2,458.48/x
  3. Step 3: Cross multiply
    4,447.84x = 6,137.92 × 2,458.48
  4. Step 4: Simplify right side
    4,447.84x = 15,089,953.56
  5. Step 5: Solve for x
    x = 15,089,953.56/4,447.84
  6. Step 6: Final answer
    x = 3,392.65

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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.