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Finding the Fourth Proportional to 4,471.35, 6,717.86 and 3,946.47

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Solution

The fourth proportional to 4,471.35, 6,717.86 and 3,946.47 is: 5,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.35 : 6,717.86 = 3,946.47 : x
  2. Step 2: Convert to fraction form
    4,471.35/6,717.86 = 3,946.47/x
  3. Step 3: Cross multiply
    4,471.35x = 6,717.86 × 3,946.47
  4. Step 4: Simplify right side
    4,471.35x = 26,511,851.72
  5. Step 5: Solve for x
    x = 26,511,851.72/4,471.35
  6. Step 6: Final answer
    x = 5,929.27

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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.