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Finding the Fourth Proportional to 6,982.56, 9,633.48 and 4,329

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Solution

The fourth proportional to 6,982.56, 9,633.48 and 4,329 is: 5,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.56 : 9,633.48 = 4,329 : x
  2. Step 2: Convert to fraction form
    6,982.56/9,633.48 = 4,329/x
  3. Step 3: Cross multiply
    6,982.56x = 9,633.48 × 4,329
  4. Step 4: Simplify right side
    6,982.56x = 41,703,334.92
  5. Step 5: Solve for x
    x = 41,703,334.92/6,982.56
  6. Step 6: Final answer
    x = 5,972.50

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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.