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Finding the Fourth Proportional to 6,749.93, 10,062.33 and 6,643.32

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Solution

The fourth proportional to 6,749.93, 10,062.33 and 6,643.32 is: 9,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.93 : 10,062.33 = 6,643.32 : x
  2. Step 2: Convert to fraction form
    6,749.93/10,062.33 = 6,643.32/x
  3. Step 3: Cross multiply
    6,749.93x = 10,062.33 × 6,643.32
  4. Step 4: Simplify right side
    6,749.93x = 66,847,215.49
  5. Step 5: Solve for x
    x = 66,847,215.49/6,749.93
  6. Step 6: Final answer
    x = 9,903.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.