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Finding the Fourth Proportional to 6,407.51, 9,600.32 and 3,480.57

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Solution

The fourth proportional to 6,407.51, 9,600.32 and 3,480.57 is: 5,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.51 : 9,600.32 = 3,480.57 : x
  2. Step 2: Convert to fraction form
    6,407.51/9,600.32 = 3,480.57/x
  3. Step 3: Cross multiply
    6,407.51x = 9,600.32 × 3,480.57
  4. Step 4: Simplify right side
    6,407.51x = 33,414,594.48
  5. Step 5: Solve for x
    x = 33,414,594.48/6,407.51
  6. Step 6: Final answer
    x = 5,214.92

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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.