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Finding the Fourth Proportional to 17,164.80, 25,749.63 and 8,400.24

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Solution

The fourth proportional to 17,164.80, 25,749.63 and 8,400.24 is: 12,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.80 : 25,749.63 = 8,400.24 : x
  2. Step 2: Convert to fraction form
    17,164.80/25,749.63 = 8,400.24/x
  3. Step 3: Cross multiply
    17,164.80x = 25,749.63 × 8,400.24
  4. Step 4: Simplify right side
    17,164.80x = 216,303,071.91
  5. Step 5: Solve for x
    x = 216,303,071.91/17,164.80
  6. Step 6: Final answer
    x = 12,601.55

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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.