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Finding the Fourth Proportional to 9,997.47, 13,797.32 and 5,749.90

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Solution

The fourth proportional to 9,997.47, 13,797.32 and 5,749.90 is: 7,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.47 : 13,797.32 = 5,749.90 : x
  2. Step 2: Convert to fraction form
    9,997.47/13,797.32 = 5,749.90/x
  3. Step 3: Cross multiply
    9,997.47x = 13,797.32 × 5,749.90
  4. Step 4: Simplify right side
    9,997.47x = 79,333,256.98
  5. Step 5: Solve for x
    x = 79,333,256.98/9,997.47
  6. Step 6: Final answer
    x = 7,935.34

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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.