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Finding the Fourth Proportional to 6,287, 9,430.68 and 1,670

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Solution

The fourth proportional to 6,287, 9,430.68 and 1,670 is: 2,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287 : 9,430.68 = 1,670 : x
  2. Step 2: Convert to fraction form
    6,287/9,430.68 = 1,670/x
  3. Step 3: Cross multiply
    6,287x = 9,430.68 × 1,670
  4. Step 4: Simplify right side
    6,287x = 15,749,235.60
  5. Step 5: Solve for x
    x = 15,749,235.60/6,287
  6. Step 6: Final answer
    x = 2,505.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.