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Finding the Fourth Proportional to 7,842.80, 11,760.42 and 4,556.84

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Solution

The fourth proportional to 7,842.80, 11,760.42 and 4,556.84 is: 6,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.80 : 11,760.42 = 4,556.84 : x
  2. Step 2: Convert to fraction form
    7,842.80/11,760.42 = 4,556.84/x
  3. Step 3: Cross multiply
    7,842.80x = 11,760.42 × 4,556.84
  4. Step 4: Simplify right side
    7,842.80x = 53,590,352.27
  5. Step 5: Solve for x
    x = 53,590,352.27/7,842.80
  6. Step 6: Final answer
    x = 6,833.06

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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.