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Finding the Fourth Proportional to 19,493.92, 29,237.64 and 7,011.42

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Solution

The fourth proportional to 19,493.92, 29,237.64 and 7,011.42 is: 10,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.92 : 29,237.64 = 7,011.42 : x
  2. Step 2: Convert to fraction form
    19,493.92/29,237.64 = 7,011.42/x
  3. Step 3: Cross multiply
    19,493.92x = 29,237.64 × 7,011.42
  4. Step 4: Simplify right side
    19,493.92x = 204,997,373.85
  5. Step 5: Solve for x
    x = 204,997,373.85/19,493.92
  6. Step 6: Final answer
    x = 10,515.96

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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.