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Finding the Fourth Proportional to 10,454.68, 15,682.02 and 3,529

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Solution

The fourth proportional to 10,454.68, 15,682.02 and 3,529 is: 5,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.68 : 15,682.02 = 3,529 : x
  2. Step 2: Convert to fraction form
    10,454.68/15,682.02 = 3,529/x
  3. Step 3: Cross multiply
    10,454.68x = 15,682.02 × 3,529
  4. Step 4: Simplify right side
    10,454.68x = 55,341,848.58
  5. Step 5: Solve for x
    x = 55,341,848.58/10,454.68
  6. Step 6: Final answer
    x = 5,293.50

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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.