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Finding the Fourth Proportional to 6,473.58, 9,710.57 and 2,091.07

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Solution

The fourth proportional to 6,473.58, 9,710.57 and 2,091.07 is: 3,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.58 : 9,710.57 = 2,091.07 : x
  2. Step 2: Convert to fraction form
    6,473.58/9,710.57 = 2,091.07/x
  3. Step 3: Cross multiply
    6,473.58x = 9,710.57 × 2,091.07
  4. Step 4: Simplify right side
    6,473.58x = 20,305,481.61
  5. Step 5: Solve for x
    x = 20,305,481.61/6,473.58
  6. Step 6: Final answer
    x = 3,136.67

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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.