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Finding the Fourth Proportional to 23,853.99, 35,782.29 and 7,213.62

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Solution

The fourth proportional to 23,853.99, 35,782.29 and 7,213.62 is: 10,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.99 : 35,782.29 = 7,213.62 : x
  2. Step 2: Convert to fraction form
    23,853.99/35,782.29 = 7,213.62/x
  3. Step 3: Cross multiply
    23,853.99x = 35,782.29 × 7,213.62
  4. Step 4: Simplify right side
    23,853.99x = 258,119,842.79
  5. Step 5: Solve for x
    x = 258,119,842.79/23,853.99
  6. Step 6: Final answer
    x = 10,820.82

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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.