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Finding the Fourth Proportional to 6,914.60, 10,347.60 and 4,727.60

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Solution

The fourth proportional to 6,914.60, 10,347.60 and 4,727.60 is: 7,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.60 : 10,347.60 = 4,727.60 : x
  2. Step 2: Convert to fraction form
    6,914.60/10,347.60 = 4,727.60/x
  3. Step 3: Cross multiply
    6,914.60x = 10,347.60 × 4,727.60
  4. Step 4: Simplify right side
    6,914.60x = 48,919,313.76
  5. Step 5: Solve for x
    x = 48,919,313.76/6,914.60
  6. Step 6: Final answer
    x = 7,074.79

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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.