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Finding the Fourth Proportional to 6,473.61, 9,710.42 and 2,091.06

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Solution

The fourth proportional to 6,473.61, 9,710.42 and 2,091.06 is: 3,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.61 : 9,710.42 = 2,091.06 : x
  2. Step 2: Convert to fraction form
    6,473.61/9,710.42 = 2,091.06/x
  3. Step 3: Cross multiply
    6,473.61x = 9,710.42 × 2,091.06
  4. Step 4: Simplify right side
    6,473.61x = 20,305,060.39
  5. Step 5: Solve for x
    x = 20,305,060.39/6,473.61
  6. Step 6: Final answer
    x = 3,136.59

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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.