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Finding the Fourth Proportional to 6,701.88, 9,257.46 and 5,586.48

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Solution

The fourth proportional to 6,701.88, 9,257.46 and 5,586.48 is: 7,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.88 : 9,257.46 = 5,586.48 : x
  2. Step 2: Convert to fraction form
    6,701.88/9,257.46 = 5,586.48/x
  3. Step 3: Cross multiply
    6,701.88x = 9,257.46 × 5,586.48
  4. Step 4: Simplify right side
    6,701.88x = 51,716,615.14
  5. Step 5: Solve for x
    x = 51,716,615.14/6,701.88
  6. Step 6: Final answer
    x = 7,716.73

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Half scale
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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.