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Finding the Fourth Proportional to 6,123.64, 8,453.22 and 4,136.90

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Solution

The fourth proportional to 6,123.64, 8,453.22 and 4,136.90 is: 5,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.64 : 8,453.22 = 4,136.90 : x
  2. Step 2: Convert to fraction form
    6,123.64/8,453.22 = 4,136.90/x
  3. Step 3: Cross multiply
    6,123.64x = 8,453.22 × 4,136.90
  4. Step 4: Simplify right side
    6,123.64x = 34,970,125.82
  5. Step 5: Solve for x
    x = 34,970,125.82/6,123.64
  6. Step 6: Final answer
    x = 5,710.68

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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.