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Finding the Fourth Proportional to 6,503.08, 8,974.22 and 3,670.44

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Solution

The fourth proportional to 6,503.08, 8,974.22 and 3,670.44 is: 5,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.08 : 8,974.22 = 3,670.44 : x
  2. Step 2: Convert to fraction form
    6,503.08/8,974.22 = 3,670.44/x
  3. Step 3: Cross multiply
    6,503.08x = 8,974.22 × 3,670.44
  4. Step 4: Simplify right side
    6,503.08x = 32,939,336.06
  5. Step 5: Solve for x
    x = 32,939,336.06/6,503.08
  6. Step 6: Final answer
    x = 5,065.19

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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.