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Finding the Fourth Proportional to 4,635.76, 6,953.62 and 1,173

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Solution

The fourth proportional to 4,635.76, 6,953.62 and 1,173 is: 1,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.76 : 6,953.62 = 1,173 : x
  2. Step 2: Convert to fraction form
    4,635.76/6,953.62 = 1,173/x
  3. Step 3: Cross multiply
    4,635.76x = 6,953.62 × 1,173
  4. Step 4: Simplify right side
    4,635.76x = 8,156,596.26
  5. Step 5: Solve for x
    x = 8,156,596.26/4,635.76
  6. Step 6: Final answer
    x = 1,759.49

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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.