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Finding the Fourth Proportional to 6,232.23, 9,311.85 and 6,014.21

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Solution

The fourth proportional to 6,232.23, 9,311.85 and 6,014.21 is: 8,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.23 : 9,311.85 = 6,014.21 : x
  2. Step 2: Convert to fraction form
    6,232.23/9,311.85 = 6,014.21/x
  3. Step 3: Cross multiply
    6,232.23x = 9,311.85 × 6,014.21
  4. Step 4: Simplify right side
    6,232.23x = 56,003,391.32
  5. Step 5: Solve for x
    x = 56,003,391.32/6,232.23
  6. Step 6: Final answer
    x = 8,986.10

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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.