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Finding the Fourth Proportional to 6,503.22, 8,974.46 and 3,519.08

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Solution

The fourth proportional to 6,503.22, 8,974.46 and 3,519.08 is: 4,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.22 : 8,974.46 = 3,519.08 : x
  2. Step 2: Convert to fraction form
    6,503.22/8,974.46 = 3,519.08/x
  3. Step 3: Cross multiply
    6,503.22x = 8,974.46 × 3,519.08
  4. Step 4: Simplify right side
    6,503.22x = 31,581,842.70
  5. Step 5: Solve for x
    x = 31,581,842.70/6,503.22
  6. Step 6: Final answer
    x = 4,856.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.