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Finding the Fourth Proportional to 7,183.22, 9,919.08 and 5,298.08

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Solution

The fourth proportional to 7,183.22, 9,919.08 and 5,298.08 is: 7,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.22 : 9,919.08 = 5,298.08 : x
  2. Step 2: Convert to fraction form
    7,183.22/9,919.08 = 5,298.08/x
  3. Step 3: Cross multiply
    7,183.22x = 9,919.08 × 5,298.08
  4. Step 4: Simplify right side
    7,183.22x = 52,552,029.77
  5. Step 5: Solve for x
    x = 52,552,029.77/7,183.22
  6. Step 6: Final answer
    x = 7,315.94

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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.