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Finding the Fourth Proportional to 9,298.44, 13,930.09 and 7,208.20

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Solution

The fourth proportional to 9,298.44, 13,930.09 and 7,208.20 is: 10,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.44 : 13,930.09 = 7,208.20 : x
  2. Step 2: Convert to fraction form
    9,298.44/13,930.09 = 7,208.20/x
  3. Step 3: Cross multiply
    9,298.44x = 13,930.09 × 7,208.20
  4. Step 4: Simplify right side
    9,298.44x = 100,410,874.74
  5. Step 5: Solve for x
    x = 100,410,874.74/9,298.44
  6. Step 6: Final answer
    x = 10,798.68

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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.