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Finding the Fourth Proportional to 6,959.20, 10,436.76 and 3,670.50

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Solution

The fourth proportional to 6,959.20, 10,436.76 and 3,670.50 is: 5,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.20 : 10,436.76 = 3,670.50 : x
  2. Step 2: Convert to fraction form
    6,959.20/10,436.76 = 3,670.50/x
  3. Step 3: Cross multiply
    6,959.20x = 10,436.76 × 3,670.50
  4. Step 4: Simplify right side
    6,959.20x = 38,308,127.58
  5. Step 5: Solve for x
    x = 38,308,127.58/6,959.20
  6. Step 6: Final answer
    x = 5,504.67

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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.