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Finding the Fourth Proportional to 23,853.68, 35,780.86 and 7,213.86

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Solution

The fourth proportional to 23,853.68, 35,780.86 and 7,213.86 is: 10,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.68 : 35,780.86 = 7,213.86 : x
  2. Step 2: Convert to fraction form
    23,853.68/35,780.86 = 7,213.86/x
  3. Step 3: Cross multiply
    23,853.68x = 35,780.86 × 7,213.86
  4. Step 4: Simplify right side
    23,853.68x = 258,118,114.72
  5. Step 5: Solve for x
    x = 258,118,114.72/23,853.68
  6. Step 6: Final answer
    x = 10,820.89

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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.