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Finding the Fourth Proportional to 13,041, 19,567.44 and 5,248.26

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Solution

The fourth proportional to 13,041, 19,567.44 and 5,248.26 is: 7,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041 : 19,567.44 = 5,248.26 : x
  2. Step 2: Convert to fraction form
    13,041/19,567.44 = 5,248.26/x
  3. Step 3: Cross multiply
    13,041x = 19,567.44 × 5,248.26
  4. Step 4: Simplify right side
    13,041x = 102,695,012.65
  5. Step 5: Solve for x
    x = 102,695,012.65/13,041
  6. Step 6: Final answer
    x = 7,874.78

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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.