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Finding the Fourth Proportional to 6,005.60, 8,997.60 and 5,644.16

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Solution

The fourth proportional to 6,005.60, 8,997.60 and 5,644.16 is: 8,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.60 : 8,997.60 = 5,644.16 : x
  2. Step 2: Convert to fraction form
    6,005.60/8,997.60 = 5,644.16/x
  3. Step 3: Cross multiply
    6,005.60x = 8,997.60 × 5,644.16
  4. Step 4: Simplify right side
    6,005.60x = 50,783,894.02
  5. Step 5: Solve for x
    x = 50,783,894.02/6,005.60
  6. Step 6: Final answer
    x = 8,456.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.