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Finding the Fourth Proportional to 12,563.56, 17,335.46 and 8,145

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Solution

The fourth proportional to 12,563.56, 17,335.46 and 8,145 is: 11,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.56 : 17,335.46 = 8,145 : x
  2. Step 2: Convert to fraction form
    12,563.56/17,335.46 = 8,145/x
  3. Step 3: Cross multiply
    12,563.56x = 17,335.46 × 8,145
  4. Step 4: Simplify right side
    12,563.56x = 141,197,321.70
  5. Step 5: Solve for x
    x = 141,197,321.70/12,563.56
  6. Step 6: Final answer
    x = 11,238.64

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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.