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Finding the Fourth Proportional to 6,546.88, 9,813.44 and 3,210.52

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Solution

The fourth proportional to 6,546.88, 9,813.44 and 3,210.52 is: 4,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.88 : 9,813.44 = 3,210.52 : x
  2. Step 2: Convert to fraction form
    6,546.88/9,813.44 = 3,210.52/x
  3. Step 3: Cross multiply
    6,546.88x = 9,813.44 × 3,210.52
  4. Step 4: Simplify right side
    6,546.88x = 31,506,245.39
  5. Step 5: Solve for x
    x = 31,506,245.39/6,546.88
  6. Step 6: Final answer
    x = 4,812.41

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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.