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Finding the Fourth Proportional to 17,165.96, 25,749.18 and 7,302.80

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Solution

The fourth proportional to 17,165.96, 25,749.18 and 7,302.80 is: 10,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.96 : 25,749.18 = 7,302.80 : x
  2. Step 2: Convert to fraction form
    17,165.96/25,749.18 = 7,302.80/x
  3. Step 3: Cross multiply
    17,165.96x = 25,749.18 × 7,302.80
  4. Step 4: Simplify right side
    17,165.96x = 188,041,111.70
  5. Step 5: Solve for x
    x = 188,041,111.70/17,165.96
  6. Step 6: Final answer
    x = 10,954.30

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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.