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Finding the Fourth Proportional to 6,455.51, 9,684.63 and 2,076.04

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Solution

The fourth proportional to 6,455.51, 9,684.63 and 2,076.04 is: 3,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.51 : 9,684.63 = 2,076.04 : x
  2. Step 2: Convert to fraction form
    6,455.51/9,684.63 = 2,076.04/x
  3. Step 3: Cross multiply
    6,455.51x = 9,684.63 × 2,076.04
  4. Step 4: Simplify right side
    6,455.51x = 20,105,679.27
  5. Step 5: Solve for x
    x = 20,105,679.27/6,455.51
  6. Step 6: Final answer
    x = 3,114.50

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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.