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Finding the Fourth Proportional to 7,546.60, 11,298 and 4,615.96

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Solution

The fourth proportional to 7,546.60, 11,298 and 4,615.96 is: 6,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.60 : 11,298 = 4,615.96 : x
  2. Step 2: Convert to fraction form
    7,546.60/11,298 = 4,615.96/x
  3. Step 3: Cross multiply
    7,546.60x = 11,298 × 4,615.96
  4. Step 4: Simplify right side
    7,546.60x = 52,151,116.08
  5. Step 5: Solve for x
    x = 52,151,116.08/7,546.60
  6. Step 6: Final answer
    x = 6,910.54

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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.