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Finding the Fourth Proportional to 6,265, 8,645.97 and 3,470.50

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Solution

The fourth proportional to 6,265, 8,645.97 and 3,470.50 is: 4,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265 : 8,645.97 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    6,265/8,645.97 = 3,470.50/x
  3. Step 3: Cross multiply
    6,265x = 8,645.97 × 3,470.50
  4. Step 4: Simplify right side
    6,265x = 30,005,838.89
  5. Step 5: Solve for x
    x = 30,005,838.89/6,265
  6. Step 6: Final answer
    x = 4,789.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.