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Finding the Fourth Proportional to 15,467.14, 23,213 and 5,609.24

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Solution

The fourth proportional to 15,467.14, 23,213 and 5,609.24 is: 8,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,467.14 : 23,213 = 5,609.24 : x
  2. Step 2: Convert to fraction form
    15,467.14/23,213 = 5,609.24/x
  3. Step 3: Cross multiply
    15,467.14x = 23,213 × 5,609.24
  4. Step 4: Simplify right side
    15,467.14x = 130,207,288.12
  5. Step 5: Solve for x
    x = 130,207,288.12/15,467.14
  6. Step 6: Final answer
    x = 8,418.32

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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.