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Finding the Fourth Proportional to 9,634, 14,451 and 2,708.50

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Solution

The fourth proportional to 9,634, 14,451 and 2,708.50 is: 4,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 14,451 = 2,708.50 : x
  2. Step 2: Convert to fraction form
    9,634/14,451 = 2,708.50/x
  3. Step 3: Cross multiply
    9,634x = 14,451 × 2,708.50
  4. Step 4: Simplify right side
    9,634x = 39,140,533.50
  5. Step 5: Solve for x
    x = 39,140,533.50/9,634
  6. Step 6: Final answer
    x = 4,062.75

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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.