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Finding the Fourth Proportional to 6,477.04, 9,715.56 and 2,581.48

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Solution

The fourth proportional to 6,477.04, 9,715.56 and 2,581.48 is: 3,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.04 : 9,715.56 = 2,581.48 : x
  2. Step 2: Convert to fraction form
    6,477.04/9,715.56 = 2,581.48/x
  3. Step 3: Cross multiply
    6,477.04x = 9,715.56 × 2,581.48
  4. Step 4: Simplify right side
    6,477.04x = 25,080,523.83
  5. Step 5: Solve for x
    x = 25,080,523.83/6,477.04
  6. Step 6: Final answer
    x = 3,872.22

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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.