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Finding the Fourth Proportional to 7,686.56, 11,527.92 and 2,493.92

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Solution

The fourth proportional to 7,686.56, 11,527.92 and 2,493.92 is: 3,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.56 : 11,527.92 = 2,493.92 : x
  2. Step 2: Convert to fraction form
    7,686.56/11,527.92 = 2,493.92/x
  3. Step 3: Cross multiply
    7,686.56x = 11,527.92 × 2,493.92
  4. Step 4: Simplify right side
    7,686.56x = 28,749,710.25
  5. Step 5: Solve for x
    x = 28,749,710.25/7,686.56
  6. Step 6: Final answer
    x = 3,740.26

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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.