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Finding the Fourth Proportional to 6,400.68, 9,602.64 and 2,703.84

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Solution

The fourth proportional to 6,400.68, 9,602.64 and 2,703.84 is: 4,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.68 : 9,602.64 = 2,703.84 : x
  2. Step 2: Convert to fraction form
    6,400.68/9,602.64 = 2,703.84/x
  3. Step 3: Cross multiply
    6,400.68x = 9,602.64 × 2,703.84
  4. Step 4: Simplify right side
    6,400.68x = 25,964,002.14
  5. Step 5: Solve for x
    x = 25,964,002.14/6,400.68
  6. Step 6: Final answer
    x = 4,056.44

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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.