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Finding the Fourth Proportional to 23,782.80, 35,684.15 and 10,448.91

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Solution

The fourth proportional to 23,782.80, 35,684.15 and 10,448.91 is: 15,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.80 : 35,684.15 = 10,448.91 : x
  2. Step 2: Convert to fraction form
    23,782.80/35,684.15 = 10,448.91/x
  3. Step 3: Cross multiply
    23,782.80x = 35,684.15 × 10,448.91
  4. Step 4: Simplify right side
    23,782.80x = 372,860,419.53
  5. Step 5: Solve for x
    x = 372,860,419.53/23,782.80
  6. Step 6: Final answer
    x = 15,677.73

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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.