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Finding the Fourth Proportional to 4,705.38, 6,476.97 and 4,262.52

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Solution

The fourth proportional to 4,705.38, 6,476.97 and 4,262.52 is: 5,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.38 : 6,476.97 = 4,262.52 : x
  2. Step 2: Convert to fraction form
    4,705.38/6,476.97 = 4,262.52/x
  3. Step 3: Cross multiply
    4,705.38x = 6,476.97 × 4,262.52
  4. Step 4: Simplify right side
    4,705.38x = 27,608,214.16
  5. Step 5: Solve for x
    x = 27,608,214.16/4,705.38
  6. Step 6: Final answer
    x = 5,867.37

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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.