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Finding the Fourth Proportional to 6,493.11, 9,741.11 and 1,875.75

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Solution

The fourth proportional to 6,493.11, 9,741.11 and 1,875.75 is: 2,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.11 : 9,741.11 = 1,875.75 : x
  2. Step 2: Convert to fraction form
    6,493.11/9,741.11 = 1,875.75/x
  3. Step 3: Cross multiply
    6,493.11x = 9,741.11 × 1,875.75
  4. Step 4: Simplify right side
    6,493.11x = 18,271,877.70
  5. Step 5: Solve for x
    x = 18,271,877.70/6,493.11
  6. Step 6: Final answer
    x = 2,814.04

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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.