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Finding the Fourth Proportional to 6,181.60, 9,273 and 1,798.96

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Solution

The fourth proportional to 6,181.60, 9,273 and 1,798.96 is: 2,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.60 : 9,273 = 1,798.96 : x
  2. Step 2: Convert to fraction form
    6,181.60/9,273 = 1,798.96/x
  3. Step 3: Cross multiply
    6,181.60x = 9,273 × 1,798.96
  4. Step 4: Simplify right side
    6,181.60x = 16,681,756.08
  5. Step 5: Solve for x
    x = 16,681,756.08/6,181.60
  6. Step 6: Final answer
    x = 2,698.61

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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.