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Finding the Fourth Proportional to 13,797, 19,042.02 and 8,211.24

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Solution

The fourth proportional to 13,797, 19,042.02 and 8,211.24 is: 11,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797 : 19,042.02 = 8,211.24 : x
  2. Step 2: Convert to fraction form
    13,797/19,042.02 = 8,211.24/x
  3. Step 3: Cross multiply
    13,797x = 19,042.02 × 8,211.24
  4. Step 4: Simplify right side
    13,797x = 156,358,596.30
  5. Step 5: Solve for x
    x = 156,358,596.30/13,797
  6. Step 6: Final answer
    x = 11,332.80

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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.