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Finding the Fourth Proportional to 6,497.61, 9,747.38 and 1,880.01

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Solution

The fourth proportional to 6,497.61, 9,747.38 and 1,880.01 is: 2,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.61 : 9,747.38 = 1,880.01 : x
  2. Step 2: Convert to fraction form
    6,497.61/9,747.38 = 1,880.01/x
  3. Step 3: Cross multiply
    6,497.61x = 9,747.38 × 1,880.01
  4. Step 4: Simplify right side
    6,497.61x = 18,325,162.47
  5. Step 5: Solve for x
    x = 18,325,162.47/6,497.61
  6. Step 6: Final answer
    x = 2,820.29

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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.