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Finding the Fourth Proportional to 6,484.83, 9,714.43 and 3,366.87

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Solution

The fourth proportional to 6,484.83, 9,714.43 and 3,366.87 is: 5,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.83 : 9,714.43 = 3,366.87 : x
  2. Step 2: Convert to fraction form
    6,484.83/9,714.43 = 3,366.87/x
  3. Step 3: Cross multiply
    6,484.83x = 9,714.43 × 3,366.87
  4. Step 4: Simplify right side
    6,484.83x = 32,707,190.71
  5. Step 5: Solve for x
    x = 32,707,190.71/6,484.83
  6. Step 6: Final answer
    x = 5,043.65

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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.