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Finding the Fourth Proportional to 6,357.30, 9,534.93 and 1,739.22

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Solution

The fourth proportional to 6,357.30, 9,534.93 and 1,739.22 is: 2,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.30 : 9,534.93 = 1,739.22 : x
  2. Step 2: Convert to fraction form
    6,357.30/9,534.93 = 1,739.22/x
  3. Step 3: Cross multiply
    6,357.30x = 9,534.93 × 1,739.22
  4. Step 4: Simplify right side
    6,357.30x = 16,583,340.95
  5. Step 5: Solve for x
    x = 16,583,340.95/6,357.30
  6. Step 6: Final answer
    x = 2,608.55

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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.