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Finding the Fourth Proportional to 6,628, 9,146.64 and 3,833.68

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Solution

The fourth proportional to 6,628, 9,146.64 and 3,833.68 is: 5,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628 : 9,146.64 = 3,833.68 : x
  2. Step 2: Convert to fraction form
    6,628/9,146.64 = 3,833.68/x
  3. Step 3: Cross multiply
    6,628x = 9,146.64 × 3,833.68
  4. Step 4: Simplify right side
    6,628x = 35,065,290.84
  5. Step 5: Solve for x
    x = 35,065,290.84/6,628
  6. Step 6: Final answer
    x = 5,290.48

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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.