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Finding the Fourth Proportional to 23,820.96, 35,734.84 and 7,807.07

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Solution

The fourth proportional to 23,820.96, 35,734.84 and 7,807.07 is: 11,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.96 : 35,734.84 = 7,807.07 : x
  2. Step 2: Convert to fraction form
    23,820.96/35,734.84 = 7,807.07/x
  3. Step 3: Cross multiply
    23,820.96x = 35,734.84 × 7,807.07
  4. Step 4: Simplify right side
    23,820.96x = 278,984,266.13
  5. Step 5: Solve for x
    x = 278,984,266.13/23,820.96
  6. Step 6: Final answer
    x = 11,711.71

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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.