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Finding the Fourth Proportional to 6,497.44, 9,750 and 3,210.88

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Solution

The fourth proportional to 6,497.44, 9,750 and 3,210.88 is: 4,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.44 : 9,750 = 3,210.88 : x
  2. Step 2: Convert to fraction form
    6,497.44/9,750 = 3,210.88/x
  3. Step 3: Cross multiply
    6,497.44x = 9,750 × 3,210.88
  4. Step 4: Simplify right side
    6,497.44x = 31,306,080
  5. Step 5: Solve for x
    x = 31,306,080/6,497.44
  6. Step 6: Final answer
    x = 4,818.22

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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.