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Finding the Fourth Proportional to 6,893.56, 10,337.23 and 1,962.01

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Solution

The fourth proportional to 6,893.56, 10,337.23 and 1,962.01 is: 2,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.56 : 10,337.23 = 1,962.01 : x
  2. Step 2: Convert to fraction form
    6,893.56/10,337.23 = 1,962.01/x
  3. Step 3: Cross multiply
    6,893.56x = 10,337.23 × 1,962.01
  4. Step 4: Simplify right side
    6,893.56x = 20,281,748.63
  5. Step 5: Solve for x
    x = 20,281,748.63/6,893.56
  6. Step 6: Final answer
    x = 2,942.13

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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.