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Finding the Fourth Proportional to 6,234.60, 8,709 and 6,234.60

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Solution

The fourth proportional to 6,234.60, 8,709 and 6,234.60 is: 8,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.60 : 8,709 = 6,234.60 : x
  2. Step 2: Convert to fraction form
    6,234.60/8,709 = 6,234.60/x
  3. Step 3: Cross multiply
    6,234.60x = 8,709 × 6,234.60
  4. Step 4: Simplify right side
    6,234.60x = 54,297,131.40
  5. Step 5: Solve for x
    x = 54,297,131.40/6,234.60
  6. Step 6: Final answer
    x = 8,709

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.