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Finding the Fourth Proportional to 9,197, 13,798.22 and 5,304.20

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Solution

The fourth proportional to 9,197, 13,798.22 and 5,304.20 is: 7,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197 : 13,798.22 = 5,304.20 : x
  2. Step 2: Convert to fraction form
    9,197/13,798.22 = 5,304.20/x
  3. Step 3: Cross multiply
    9,197x = 13,798.22 × 5,304.20
  4. Step 4: Simplify right side
    9,197x = 73,188,518.52
  5. Step 5: Solve for x
    x = 73,188,518.52/9,197
  6. Step 6: Final answer
    x = 7,957.87

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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.