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Finding the Fourth Proportional to 6,741.60, 10,086 and 4,437.60

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Solution

The fourth proportional to 6,741.60, 10,086 and 4,437.60 is: 6,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.60 : 10,086 = 4,437.60 : x
  2. Step 2: Convert to fraction form
    6,741.60/10,086 = 4,437.60/x
  3. Step 3: Cross multiply
    6,741.60x = 10,086 × 4,437.60
  4. Step 4: Simplify right side
    6,741.60x = 44,757,633.60
  5. Step 5: Solve for x
    x = 44,757,633.60/6,741.60
  6. Step 6: Final answer
    x = 6,639.02

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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.