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Finding the Fourth Proportional to 6,303.29, 8,698.46 and 3,470.60

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Solution

The fourth proportional to 6,303.29, 8,698.46 and 3,470.60 is: 4,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.29 : 8,698.46 = 3,470.60 : x
  2. Step 2: Convert to fraction form
    6,303.29/8,698.46 = 3,470.60/x
  3. Step 3: Cross multiply
    6,303.29x = 8,698.46 × 3,470.60
  4. Step 4: Simplify right side
    6,303.29x = 30,188,875.28
  5. Step 5: Solve for x
    x = 30,188,875.28/6,303.29
  6. Step 6: Final answer
    x = 4,789.39

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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.