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Finding the Fourth Proportional to 6,182.64, 9,272.28 and 1,798.96

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Solution

The fourth proportional to 6,182.64, 9,272.28 and 1,798.96 is: 2,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.64 : 9,272.28 = 1,798.96 : x
  2. Step 2: Convert to fraction form
    6,182.64/9,272.28 = 1,798.96/x
  3. Step 3: Cross multiply
    6,182.64x = 9,272.28 × 1,798.96
  4. Step 4: Simplify right side
    6,182.64x = 16,680,460.83
  5. Step 5: Solve for x
    x = 16,680,460.83/6,182.64
  6. Step 6: Final answer
    x = 2,697.95

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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.