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Finding the Fourth Proportional to 6,765.54, 10,148.52 and 1,835.16

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Solution

The fourth proportional to 6,765.54, 10,148.52 and 1,835.16 is: 2,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.54 : 10,148.52 = 1,835.16 : x
  2. Step 2: Convert to fraction form
    6,765.54/10,148.52 = 1,835.16/x
  3. Step 3: Cross multiply
    6,765.54x = 10,148.52 × 1,835.16
  4. Step 4: Simplify right side
    6,765.54x = 18,624,157.96
  5. Step 5: Solve for x
    x = 18,624,157.96/6,765.54
  6. Step 6: Final answer
    x = 2,752.80

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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.