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Finding the Fourth Proportional to 4,944.51, 7,416.90 and 1,481.76

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Solution

The fourth proportional to 4,944.51, 7,416.90 and 1,481.76 is: 2,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.51 : 7,416.90 = 1,481.76 : x
  2. Step 2: Convert to fraction form
    4,944.51/7,416.90 = 1,481.76/x
  3. Step 3: Cross multiply
    4,944.51x = 7,416.90 × 1,481.76
  4. Step 4: Simplify right side
    4,944.51x = 10,990,065.74
  5. Step 5: Solve for x
    x = 10,990,065.74/4,944.51
  6. Step 6: Final answer
    x = 2,222.68

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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.