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Finding the Fourth Proportional to 8,246.40, 11,379.94 and 4,709.60

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Solution

The fourth proportional to 8,246.40, 11,379.94 and 4,709.60 is: 6,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.40 : 11,379.94 = 4,709.60 : x
  2. Step 2: Convert to fraction form
    8,246.40/11,379.94 = 4,709.60/x
  3. Step 3: Cross multiply
    8,246.40x = 11,379.94 × 4,709.60
  4. Step 4: Simplify right side
    8,246.40x = 53,594,965.42
  5. Step 5: Solve for x
    x = 53,594,965.42/8,246.40
  6. Step 6: Final answer
    x = 6,499.20

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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.