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Finding the Fourth Proportional to 6,625.40, 9,133.38 and 4,629.74

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Solution

The fourth proportional to 6,625.40, 9,133.38 and 4,629.74 is: 6,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.40 : 9,133.38 = 4,629.74 : x
  2. Step 2: Convert to fraction form
    6,625.40/9,133.38 = 4,629.74/x
  3. Step 3: Cross multiply
    6,625.40x = 9,133.38 × 4,629.74
  4. Step 4: Simplify right side
    6,625.40x = 42,285,129.05
  5. Step 5: Solve for x
    x = 42,285,129.05/6,625.40
  6. Step 6: Final answer
    x = 6,382.28

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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.