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Finding the Fourth Proportional to 5,665.14, 8,446.82 and 5,448.60

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Solution

The fourth proportional to 5,665.14, 8,446.82 and 5,448.60 is: 8,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.14 : 8,446.82 = 5,448.60 : x
  2. Step 2: Convert to fraction form
    5,665.14/8,446.82 = 5,448.60/x
  3. Step 3: Cross multiply
    5,665.14x = 8,446.82 × 5,448.60
  4. Step 4: Simplify right side
    5,665.14x = 46,023,316.21
  5. Step 5: Solve for x
    x = 46,023,316.21/5,665.14
  6. Step 6: Final answer
    x = 8,123.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.