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Finding the Fourth Proportional to 6,410.43, 9,615.80 and 2,711.99

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Solution

The fourth proportional to 6,410.43, 9,615.80 and 2,711.99 is: 4,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.43 : 9,615.80 = 2,711.99 : x
  2. Step 2: Convert to fraction form
    6,410.43/9,615.80 = 2,711.99/x
  3. Step 3: Cross multiply
    6,410.43x = 9,615.80 × 2,711.99
  4. Step 4: Simplify right side
    6,410.43x = 26,077,953.44
  5. Step 5: Solve for x
    x = 26,077,953.44/6,410.43
  6. Step 6: Final answer
    x = 4,068.05

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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.