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Finding the Fourth Proportional to 4,711.76, 7,069.08 and 1,634

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Solution

The fourth proportional to 4,711.76, 7,069.08 and 1,634 is: 2,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.76 : 7,069.08 = 1,634 : x
  2. Step 2: Convert to fraction form
    4,711.76/7,069.08 = 1,634/x
  3. Step 3: Cross multiply
    4,711.76x = 7,069.08 × 1,634
  4. Step 4: Simplify right side
    4,711.76x = 11,550,876.72
  5. Step 5: Solve for x
    x = 11,550,876.72/4,711.76
  6. Step 6: Final answer
    x = 2,451.50

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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.