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Finding the Fourth Proportional to 13,048.92, 19,573.92 and 3,814.92

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Solution

The fourth proportional to 13,048.92, 19,573.92 and 3,814.92 is: 5,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.92 : 19,573.92 = 3,814.92 : x
  2. Step 2: Convert to fraction form
    13,048.92/19,573.92 = 3,814.92/x
  3. Step 3: Cross multiply
    13,048.92x = 19,573.92 × 3,814.92
  4. Step 4: Simplify right side
    13,048.92x = 74,672,938.89
  5. Step 5: Solve for x
    x = 74,672,938.89/13,048.92
  6. Step 6: Final answer
    x = 5,722.54

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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.