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Finding the Fourth Proportional to 6,287.52, 9,431.28 and 1,670.52

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Solution

The fourth proportional to 6,287.52, 9,431.28 and 1,670.52 is: 2,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.52 : 9,431.28 = 1,670.52 : x
  2. Step 2: Convert to fraction form
    6,287.52/9,431.28 = 1,670.52/x
  3. Step 3: Cross multiply
    6,287.52x = 9,431.28 × 1,670.52
  4. Step 4: Simplify right side
    6,287.52x = 15,755,141.87
  5. Step 5: Solve for x
    x = 15,755,141.87/6,287.52
  6. Step 6: Final answer
    x = 2,505.78

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1.5x scale

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.