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Finding the Fourth Proportional to 8,322.54, 12,475.70 and 6,765.72

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Solution

The fourth proportional to 8,322.54, 12,475.70 and 6,765.72 is: 10,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.54 : 12,475.70 = 6,765.72 : x
  2. Step 2: Convert to fraction form
    8,322.54/12,475.70 = 6,765.72/x
  3. Step 3: Cross multiply
    8,322.54x = 12,475.70 × 6,765.72
  4. Step 4: Simplify right side
    8,322.54x = 84,407,093.00
  5. Step 5: Solve for x
    x = 84,407,093.00/8,322.54
  6. Step 6: Final answer
    x = 10,141.99

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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.