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Finding the Fourth Proportional to 6,462.12, 9,693.54 and 1,845

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Solution

The fourth proportional to 6,462.12, 9,693.54 and 1,845 is: 2,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.12 : 9,693.54 = 1,845 : x
  2. Step 2: Convert to fraction form
    6,462.12/9,693.54 = 1,845/x
  3. Step 3: Cross multiply
    6,462.12x = 9,693.54 × 1,845
  4. Step 4: Simplify right side
    6,462.12x = 17,884,581.30
  5. Step 5: Solve for x
    x = 17,884,581.30/6,462.12
  6. Step 6: Final answer
    x = 2,767.60

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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.