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Finding the Fourth Proportional to 6,463.16, 9,685.02 and 4,811.96

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Solution

The fourth proportional to 6,463.16, 9,685.02 and 4,811.96 is: 7,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.16 : 9,685.02 = 4,811.96 : x
  2. Step 2: Convert to fraction form
    6,463.16/9,685.02 = 4,811.96/x
  3. Step 3: Cross multiply
    6,463.16x = 9,685.02 × 4,811.96
  4. Step 4: Simplify right side
    6,463.16x = 46,603,928.84
  5. Step 5: Solve for x
    x = 46,603,928.84/6,463.16
  6. Step 6: Final answer
    x = 7,210.70

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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.