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Finding the Fourth Proportional to 10,197, 14,072.04 and 6,006.24

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Solution

The fourth proportional to 10,197, 14,072.04 and 6,006.24 is: 8,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197 : 14,072.04 = 6,006.24 : x
  2. Step 2: Convert to fraction form
    10,197/14,072.04 = 6,006.24/x
  3. Step 3: Cross multiply
    10,197x = 14,072.04 × 6,006.24
  4. Step 4: Simplify right side
    10,197x = 84,520,049.53
  5. Step 5: Solve for x
    x = 84,520,049.53/10,197
  6. Step 6: Final answer
    x = 8,288.72

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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.