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Finding the Fourth Proportional to 6,733.73, 9,292.08 and 4,215.73

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Solution

The fourth proportional to 6,733.73, 9,292.08 and 4,215.73 is: 5,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.73 : 9,292.08 = 4,215.73 : x
  2. Step 2: Convert to fraction form
    6,733.73/9,292.08 = 4,215.73/x
  3. Step 3: Cross multiply
    6,733.73x = 9,292.08 × 4,215.73
  4. Step 4: Simplify right side
    6,733.73x = 39,172,900.42
  5. Step 5: Solve for x
    x = 39,172,900.42/6,733.73
  6. Step 6: Final answer
    x = 5,817.41

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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.