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Finding the Fourth Proportional to 12,197.97, 18,303.11 and 4,807.73

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Solution

The fourth proportional to 12,197.97, 18,303.11 and 4,807.73 is: 7,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.97 : 18,303.11 = 4,807.73 : x
  2. Step 2: Convert to fraction form
    12,197.97/18,303.11 = 4,807.73/x
  3. Step 3: Cross multiply
    12,197.97x = 18,303.11 × 4,807.73
  4. Step 4: Simplify right side
    12,197.97x = 87,996,295.49
  5. Step 5: Solve for x
    x = 87,996,295.49/12,197.97
  6. Step 6: Final answer
    x = 7,214.01

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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.