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Finding the Fourth Proportional to 6,485.53, 9,694.84 and 4,823.41

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Solution

The fourth proportional to 6,485.53, 9,694.84 and 4,823.41 is: 7,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.53 : 9,694.84 = 4,823.41 : x
  2. Step 2: Convert to fraction form
    6,485.53/9,694.84 = 4,823.41/x
  3. Step 3: Cross multiply
    6,485.53x = 9,694.84 × 4,823.41
  4. Step 4: Simplify right side
    6,485.53x = 46,762,188.20
  5. Step 5: Solve for x
    x = 46,762,188.20/6,485.53
  6. Step 6: Final answer
    x = 7,210.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.