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Finding the Fourth Proportional to 6,497.02, 9,746.10 and 1,817.08

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Solution

The fourth proportional to 6,497.02, 9,746.10 and 1,817.08 is: 2,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.02 : 9,746.10 = 1,817.08 : x
  2. Step 2: Convert to fraction form
    6,497.02/9,746.10 = 1,817.08/x
  3. Step 3: Cross multiply
    6,497.02x = 9,746.10 × 1,817.08
  4. Step 4: Simplify right side
    6,497.02x = 17,709,443.39
  5. Step 5: Solve for x
    x = 17,709,443.39/6,497.02
  6. Step 6: Final answer
    x = 2,725.78

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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.