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Finding the Fourth Proportional to 6,929.64, 10,388.52 and 2,544.84

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Solution

The fourth proportional to 6,929.64, 10,388.52 and 2,544.84 is: 3,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.64 : 10,388.52 = 2,544.84 : x
  2. Step 2: Convert to fraction form
    6,929.64/10,388.52 = 2,544.84/x
  3. Step 3: Cross multiply
    6,929.64x = 10,388.52 × 2,544.84
  4. Step 4: Simplify right side
    6,929.64x = 26,437,121.24
  5. Step 5: Solve for x
    x = 26,437,121.24/6,929.64
  6. Step 6: Final answer
    x = 3,815.08

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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.