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Finding the Fourth Proportional to 23,852.73, 35,784.40 and 7,842.99

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Solution

The fourth proportional to 23,852.73, 35,784.40 and 7,842.99 is: 11,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.73 : 35,784.40 = 7,842.99 : x
  2. Step 2: Convert to fraction form
    23,852.73/35,784.40 = 7,842.99/x
  3. Step 3: Cross multiply
    23,852.73x = 35,784.40 × 7,842.99
  4. Step 4: Simplify right side
    23,852.73x = 280,656,691.36
  5. Step 5: Solve for x
    x = 280,656,691.36/23,852.73
  6. Step 6: Final answer
    x = 11,766.23

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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.