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Finding the Fourth Proportional to 7,997.70, 11,980.88 and 6,594.14

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Solution

The fourth proportional to 7,997.70, 11,980.88 and 6,594.14 is: 9,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.70 : 11,980.88 = 6,594.14 : x
  2. Step 2: Convert to fraction form
    7,997.70/11,980.88 = 6,594.14/x
  3. Step 3: Cross multiply
    7,997.70x = 11,980.88 × 6,594.14
  4. Step 4: Simplify right side
    7,997.70x = 79,003,600.04
  5. Step 5: Solve for x
    x = 79,003,600.04/7,997.70
  6. Step 6: Final answer
    x = 9,878.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.