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Finding the Fourth Proportional to 6,296.06, 9,440.40 and 3,693.50

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Solution

The fourth proportional to 6,296.06, 9,440.40 and 3,693.50 is: 5,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.06 : 9,440.40 = 3,693.50 : x
  2. Step 2: Convert to fraction form
    6,296.06/9,440.40 = 3,693.50/x
  3. Step 3: Cross multiply
    6,296.06x = 9,440.40 × 3,693.50
  4. Step 4: Simplify right side
    6,296.06x = 34,868,117.40
  5. Step 5: Solve for x
    x = 34,868,117.40/6,296.06
  6. Step 6: Final answer
    x = 5,538.09

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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.