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Finding the Fourth Proportional to 4,687.56, 6,469.74 and 4,214.52

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Solution

The fourth proportional to 4,687.56, 6,469.74 and 4,214.52 is: 5,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.56 : 6,469.74 = 4,214.52 : x
  2. Step 2: Convert to fraction form
    4,687.56/6,469.74 = 4,214.52/x
  3. Step 3: Cross multiply
    4,687.56x = 6,469.74 × 4,214.52
  4. Step 4: Simplify right side
    4,687.56x = 27,266,848.62
  5. Step 5: Solve for x
    x = 27,266,848.62/4,687.56
  6. Step 6: Final answer
    x = 5,816.85

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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.