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Finding the Fourth Proportional to 6,304.96, 9,458.40 and 2,200

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Solution

The fourth proportional to 6,304.96, 9,458.40 and 2,200 is: 3,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.96 : 9,458.40 = 2,200 : x
  2. Step 2: Convert to fraction form
    6,304.96/9,458.40 = 2,200/x
  3. Step 3: Cross multiply
    6,304.96x = 9,458.40 × 2,200
  4. Step 4: Simplify right side
    6,304.96x = 20,808,480
  5. Step 5: Solve for x
    x = 20,808,480/6,304.96
  6. Step 6: Final answer
    x = 3,300.33

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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.