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Finding the Fourth Proportional to 12,197.67, 16,827.99 and 7,953.68

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Solution

The fourth proportional to 12,197.67, 16,827.99 and 7,953.68 is: 10,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.67 : 16,827.99 = 7,953.68 : x
  2. Step 2: Convert to fraction form
    12,197.67/16,827.99 = 7,953.68/x
  3. Step 3: Cross multiply
    12,197.67x = 16,827.99 × 7,953.68
  4. Step 4: Simplify right side
    12,197.67x = 133,844,363.36
  5. Step 5: Solve for x
    x = 133,844,363.36/12,197.67
  6. Step 6: Final answer
    x = 10,972.95

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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.