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Finding the Fourth Proportional to 6,165.75, 8,524.95 and 5,890.35

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Solution

The fourth proportional to 6,165.75, 8,524.95 and 5,890.35 is: 8,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.75 : 8,524.95 = 5,890.35 : x
  2. Step 2: Convert to fraction form
    6,165.75/8,524.95 = 5,890.35/x
  3. Step 3: Cross multiply
    6,165.75x = 8,524.95 × 5,890.35
  4. Step 4: Simplify right side
    6,165.75x = 50,214,939.23
  5. Step 5: Solve for x
    x = 50,214,939.23/6,165.75
  6. Step 6: Final answer
    x = 8,144.17

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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.