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Finding the Fourth Proportional to 6,182.31, 9,274.98 and 1,799.81

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Solution

The fourth proportional to 6,182.31, 9,274.98 and 1,799.81 is: 2,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.31 : 9,274.98 = 1,799.81 : x
  2. Step 2: Convert to fraction form
    6,182.31/9,274.98 = 1,799.81/x
  3. Step 3: Cross multiply
    6,182.31x = 9,274.98 × 1,799.81
  4. Step 4: Simplify right side
    6,182.31x = 16,693,201.75
  5. Step 5: Solve for x
    x = 16,693,201.75/6,182.31
  6. Step 6: Final answer
    x = 2,700.16

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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.