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Finding the Fourth Proportional to 17,315.20, 25,992.24 and 6,934.24

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Solution

The fourth proportional to 17,315.20, 25,992.24 and 6,934.24 is: 10,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315.20 : 25,992.24 = 6,934.24 : x
  2. Step 2: Convert to fraction form
    17,315.20/25,992.24 = 6,934.24/x
  3. Step 3: Cross multiply
    17,315.20x = 25,992.24 × 6,934.24
  4. Step 4: Simplify right side
    17,315.20x = 180,236,430.30
  5. Step 5: Solve for x
    x = 180,236,430.30/17,315.20
  6. Step 6: Final answer
    x = 10,409.15

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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.