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Finding the Fourth Proportional to 16,978.23, 25,467.32 and 6,448.23

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Solution

The fourth proportional to 16,978.23, 25,467.32 and 6,448.23 is: 9,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.23 : 25,467.32 = 6,448.23 : x
  2. Step 2: Convert to fraction form
    16,978.23/25,467.32 = 6,448.23/x
  3. Step 3: Cross multiply
    16,978.23x = 25,467.32 × 6,448.23
  4. Step 4: Simplify right side
    16,978.23x = 164,219,065.12
  5. Step 5: Solve for x
    x = 164,219,065.12/16,978.23
  6. Step 6: Final answer
    x = 9,672.33

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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.