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Finding the Fourth Proportional to 6,743.40, 9,298.38 and 5,528.40

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Solution

The fourth proportional to 6,743.40, 9,298.38 and 5,528.40 is: 7,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.40 : 9,298.38 = 5,528.40 : x
  2. Step 2: Convert to fraction form
    6,743.40/9,298.38 = 5,528.40/x
  3. Step 3: Cross multiply
    6,743.40x = 9,298.38 × 5,528.40
  4. Step 4: Simplify right side
    6,743.40x = 51,405,163.99
  5. Step 5: Solve for x
    x = 51,405,163.99/6,743.40
  6. Step 6: Final answer
    x = 7,623.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.