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Finding the Fourth Proportional to 6,434.54, 9,653.88 and 2,739.93

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Solution

The fourth proportional to 6,434.54, 9,653.88 and 2,739.93 is: 4,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.54 : 9,653.88 = 2,739.93 : x
  2. Step 2: Convert to fraction form
    6,434.54/9,653.88 = 2,739.93/x
  3. Step 3: Cross multiply
    6,434.54x = 9,653.88 × 2,739.93
  4. Step 4: Simplify right side
    6,434.54x = 26,450,929.50
  5. Step 5: Solve for x
    x = 26,450,929.50/6,434.54
  6. Step 6: Final answer
    x = 4,110.77

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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.