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Finding the Fourth Proportional to 6,983.98, 9,648.48 and 5,212.51

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Solution

The fourth proportional to 6,983.98, 9,648.48 and 5,212.51 is: 7,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.98 : 9,648.48 = 5,212.51 : x
  2. Step 2: Convert to fraction form
    6,983.98/9,648.48 = 5,212.51/x
  3. Step 3: Cross multiply
    6,983.98x = 9,648.48 × 5,212.51
  4. Step 4: Simplify right side
    6,983.98x = 50,292,793.91
  5. Step 5: Solve for x
    x = 50,292,793.91/6,983.98
  6. Step 6: Final answer
    x = 7,201.17

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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.