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Finding the Fourth Proportional to 9,198.80, 13,798.20 and 8,277.20

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Solution

The fourth proportional to 9,198.80, 13,798.20 and 8,277.20 is: 12,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.80 : 13,798.20 = 8,277.20 : x
  2. Step 2: Convert to fraction form
    9,198.80/13,798.20 = 8,277.20/x
  3. Step 3: Cross multiply
    9,198.80x = 13,798.20 × 8,277.20
  4. Step 4: Simplify right side
    9,198.80x = 114,210,461.04
  5. Step 5: Solve for x
    x = 114,210,461.04/9,198.80
  6. Step 6: Final answer
    x = 12,415.80

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Similar ratio
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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.