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Finding the Fourth Proportional to 5,644.80, 7,833.60 and 5,414.40

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Solution

The fourth proportional to 5,644.80, 7,833.60 and 5,414.40 is: 7,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.80 : 7,833.60 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    5,644.80/7,833.60 = 5,414.40/x
  3. Step 3: Cross multiply
    5,644.80x = 7,833.60 × 5,414.40
  4. Step 4: Simplify right side
    5,644.80x = 42,414,243.84
  5. Step 5: Solve for x
    x = 42,414,243.84/5,644.80
  6. Step 6: Final answer
    x = 7,513.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.