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Finding the Fourth Proportional to 6,444.56, 9,664.80 and 2,495.54

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Solution

The fourth proportional to 6,444.56, 9,664.80 and 2,495.54 is: 3,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.56 : 9,664.80 = 2,495.54 : x
  2. Step 2: Convert to fraction form
    6,444.56/9,664.80 = 2,495.54/x
  3. Step 3: Cross multiply
    6,444.56x = 9,664.80 × 2,495.54
  4. Step 4: Simplify right side
    6,444.56x = 24,118,846.67
  5. Step 5: Solve for x
    x = 24,118,846.67/6,444.56
  6. Step 6: Final answer
    x = 3,742.52

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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.