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Finding the Fourth Proportional to 9,982.50, 13,752 and 6,992.70

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Solution

The fourth proportional to 9,982.50, 13,752 and 6,992.70 is: 9,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.50 : 13,752 = 6,992.70 : x
  2. Step 2: Convert to fraction form
    9,982.50/13,752 = 6,992.70/x
  3. Step 3: Cross multiply
    9,982.50x = 13,752 × 6,992.70
  4. Step 4: Simplify right side
    9,982.50x = 96,163,610.40
  5. Step 5: Solve for x
    x = 96,163,610.40/9,982.50
  6. Step 6: Final answer
    x = 9,633.22

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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.