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Finding the Fourth Proportional to 6,434.71, 9,652.31 and 1,754.87

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Solution

The fourth proportional to 6,434.71, 9,652.31 and 1,754.87 is: 2,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.71 : 9,652.31 = 1,754.87 : x
  2. Step 2: Convert to fraction form
    6,434.71/9,652.31 = 1,754.87/x
  3. Step 3: Cross multiply
    6,434.71x = 9,652.31 × 1,754.87
  4. Step 4: Simplify right side
    6,434.71x = 16,938,528.41
  5. Step 5: Solve for x
    x = 16,938,528.41/6,434.71
  6. Step 6: Final answer
    x = 2,632.37

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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.