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Finding the Fourth Proportional to 8,548.53, 11,786.00 and 7,009.78

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Solution

The fourth proportional to 8,548.53, 11,786.00 and 7,009.78 is: 9,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.53 : 11,786.00 = 7,009.78 : x
  2. Step 2: Convert to fraction form
    8,548.53/11,786.00 = 7,009.78/x
  3. Step 3: Cross multiply
    8,548.53x = 11,786.00 × 7,009.78
  4. Step 4: Simplify right side
    8,548.53x = 82,617,273.05
  5. Step 5: Solve for x
    x = 82,617,273.05/8,548.53
  6. Step 6: Final answer
    x = 9,664.50

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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.