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Finding the Fourth Proportional to 6,434.63, 9,652.04 and 2,539

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Solution

The fourth proportional to 6,434.63, 9,652.04 and 2,539 is: 3,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.63 : 9,652.04 = 2,539 : x
  2. Step 2: Convert to fraction form
    6,434.63/9,652.04 = 2,539/x
  3. Step 3: Cross multiply
    6,434.63x = 9,652.04 × 2,539
  4. Step 4: Simplify right side
    6,434.63x = 24,506,529.56
  5. Step 5: Solve for x
    x = 24,506,529.56/6,434.63
  6. Step 6: Final answer
    x = 3,808.54

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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.