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Finding the Fourth Proportional to 6,342.56, 9,512.76 and 1,725.56

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Solution

The fourth proportional to 6,342.56, 9,512.76 and 1,725.56 is: 2,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.56 : 9,512.76 = 1,725.56 : x
  2. Step 2: Convert to fraction form
    6,342.56/9,512.76 = 1,725.56/x
  3. Step 3: Cross multiply
    6,342.56x = 9,512.76 × 1,725.56
  4. Step 4: Simplify right side
    6,342.56x = 16,414,838.15
  5. Step 5: Solve for x
    x = 16,414,838.15/6,342.56
  6. Step 6: Final answer
    x = 2,588.05

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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.