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Finding the Fourth Proportional to 7,242.06, 9,996.03 and 6,749.58

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Solution

The fourth proportional to 7,242.06, 9,996.03 and 6,749.58 is: 9,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.06 : 9,996.03 = 6,749.58 : x
  2. Step 2: Convert to fraction form
    7,242.06/9,996.03 = 6,749.58/x
  3. Step 3: Cross multiply
    7,242.06x = 9,996.03 × 6,749.58
  4. Step 4: Simplify right side
    7,242.06x = 67,469,004.17
  5. Step 5: Solve for x
    x = 67,469,004.17/7,242.06
  6. Step 6: Final answer
    x = 9,316.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.