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Finding the Fourth Proportional to 6,982.54, 9,633.50 and 4,328.98

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Solution

The fourth proportional to 6,982.54, 9,633.50 and 4,328.98 is: 5,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.54 : 9,633.50 = 4,328.98 : x
  2. Step 2: Convert to fraction form
    6,982.54/9,633.50 = 4,328.98/x
  3. Step 3: Cross multiply
    6,982.54x = 9,633.50 × 4,328.98
  4. Step 4: Simplify right side
    6,982.54x = 41,703,228.83
  5. Step 5: Solve for x
    x = 41,703,228.83/6,982.54
  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.