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Finding the Fourth Proportional to 6,707.63, 10,010.75 and 6,532.67

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Solution

The fourth proportional to 6,707.63, 10,010.75 and 6,532.67 is: 9,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.63 : 10,010.75 = 6,532.67 : x
  2. Step 2: Convert to fraction form
    6,707.63/10,010.75 = 6,532.67/x
  3. Step 3: Cross multiply
    6,707.63x = 10,010.75 × 6,532.67
  4. Step 4: Simplify right side
    6,707.63x = 65,396,918.57
  5. Step 5: Solve for x
    x = 65,396,918.57/6,707.63
  6. Step 6: Final answer
    x = 9,749.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.