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Finding the Fourth Proportional to 6,441.96, 9,671.58 and 3,814.32

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Solution

The fourth proportional to 6,441.96, 9,671.58 and 3,814.32 is: 5,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.96 : 9,671.58 = 3,814.32 : x
  2. Step 2: Convert to fraction form
    6,441.96/9,671.58 = 3,814.32/x
  3. Step 3: Cross multiply
    6,441.96x = 9,671.58 × 3,814.32
  4. Step 4: Simplify right side
    6,441.96x = 36,890,501.03
  5. Step 5: Solve for x
    x = 36,890,501.03/6,441.96
  6. Step 6: Final answer
    x = 5,726.60

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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.