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Finding the Fourth Proportional to 6,257.34, 8,631.63 and 5,623.11

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Solution

The fourth proportional to 6,257.34, 8,631.63 and 5,623.11 is: 7,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.34 : 8,631.63 = 5,623.11 : x
  2. Step 2: Convert to fraction form
    6,257.34/8,631.63 = 5,623.11/x
  3. Step 3: Cross multiply
    6,257.34x = 8,631.63 × 5,623.11
  4. Step 4: Simplify right side
    6,257.34x = 48,536,604.97
  5. Step 5: Solve for x
    x = 48,536,604.97/6,257.34
  6. Step 6: Final answer
    x = 7,756.75

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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.