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Finding the Fourth Proportional to 6,206.60, 9,299.10 and 5,234.60

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Solution

The fourth proportional to 6,206.60, 9,299.10 and 5,234.60 is: 7,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.60 : 9,299.10 = 5,234.60 : x
  2. Step 2: Convert to fraction form
    6,206.60/9,299.10 = 5,234.60/x
  3. Step 3: Cross multiply
    6,206.60x = 9,299.10 × 5,234.60
  4. Step 4: Simplify right side
    6,206.60x = 48,677,068.86
  5. Step 5: Solve for x
    x = 48,677,068.86/6,206.60
  6. Step 6: Final answer
    x = 7,842.79

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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.