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Finding the Fourth Proportional to 7,156.92, 10,735.29 and 1,962.75

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Solution

The fourth proportional to 7,156.92, 10,735.29 and 1,962.75 is: 2,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.92 : 10,735.29 = 1,962.75 : x
  2. Step 2: Convert to fraction form
    7,156.92/10,735.29 = 1,962.75/x
  3. Step 3: Cross multiply
    7,156.92x = 10,735.29 × 1,962.75
  4. Step 4: Simplify right side
    7,156.92x = 21,070,690.45
  5. Step 5: Solve for x
    x = 21,070,690.45/7,156.92
  6. Step 6: Final answer
    x = 2,944.10

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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.