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Finding the Fourth Proportional to 6,497.76, 9,743.76 and 3,036

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Solution

The fourth proportional to 6,497.76, 9,743.76 and 3,036 is: 4,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.76 : 9,743.76 = 3,036 : x
  2. Step 2: Convert to fraction form
    6,497.76/9,743.76 = 3,036/x
  3. Step 3: Cross multiply
    6,497.76x = 9,743.76 × 3,036
  4. Step 4: Simplify right side
    6,497.76x = 29,582,055.36
  5. Step 5: Solve for x
    x = 29,582,055.36/6,497.76
  6. Step 6: Final answer
    x = 4,552.65

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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.