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Finding the Fourth Proportional to 6,470.39, 9,710.41 and 4,808.35

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Solution

The fourth proportional to 6,470.39, 9,710.41 and 4,808.35 is: 7,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.39 : 9,710.41 = 4,808.35 : x
  2. Step 2: Convert to fraction form
    6,470.39/9,710.41 = 4,808.35/x
  3. Step 3: Cross multiply
    6,470.39x = 9,710.41 × 4,808.35
  4. Step 4: Simplify right side
    6,470.39x = 46,691,049.92
  5. Step 5: Solve for x
    x = 46,691,049.92/6,470.39
  6. Step 6: Final answer
    x = 7,216.11

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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.