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Finding the Fourth Proportional to 6,481.74, 8,946.99 and 4,494.93

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Solution

The fourth proportional to 6,481.74, 8,946.99 and 4,494.93 is: 6,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.74 : 8,946.99 = 4,494.93 : x
  2. Step 2: Convert to fraction form
    6,481.74/8,946.99 = 4,494.93/x
  3. Step 3: Cross multiply
    6,481.74x = 8,946.99 × 4,494.93
  4. Step 4: Simplify right side
    6,481.74x = 40,216,093.76
  5. Step 5: Solve for x
    x = 40,216,093.76/6,481.74
  6. Step 6: Final answer
    x = 6,204.52

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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.