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Finding the Fourth Proportional to 8,537.56, 11,783.36 and 6,782.56

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Solution

The fourth proportional to 8,537.56, 11,783.36 and 6,782.56 is: 9,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.56 : 11,783.36 = 6,782.56 : x
  2. Step 2: Convert to fraction form
    8,537.56/11,783.36 = 6,782.56/x
  3. Step 3: Cross multiply
    8,537.56x = 11,783.36 × 6,782.56
  4. Step 4: Simplify right side
    8,537.56x = 79,921,346.20
  5. Step 5: Solve for x
    x = 79,921,346.20/8,537.56
  6. Step 6: Final answer
    x = 9,361.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.