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Finding the Fourth Proportional to 7,071.50, 10,599.18 and 3,368.48

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Solution

The fourth proportional to 7,071.50, 10,599.18 and 3,368.48 is: 5,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.50 : 10,599.18 = 3,368.48 : x
  2. Step 2: Convert to fraction form
    7,071.50/10,599.18 = 3,368.48/x
  3. Step 3: Cross multiply
    7,071.50x = 10,599.18 × 3,368.48
  4. Step 4: Simplify right side
    7,071.50x = 35,703,125.85
  5. Step 5: Solve for x
    x = 35,703,125.85/7,071.50
  6. Step 6: Final answer
    x = 5,048.88

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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.