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Finding the Fourth Proportional to 16,505.56, 24,758.09 and 6,644.58

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Solution

The fourth proportional to 16,505.56, 24,758.09 and 6,644.58 is: 9,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.56 : 24,758.09 = 6,644.58 : x
  2. Step 2: Convert to fraction form
    16,505.56/24,758.09 = 6,644.58/x
  3. Step 3: Cross multiply
    16,505.56x = 24,758.09 × 6,644.58
  4. Step 4: Simplify right side
    16,505.56x = 164,507,147.77
  5. Step 5: Solve for x
    x = 164,507,147.77/16,505.56
  6. Step 6: Final answer
    x = 9,966.77

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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.