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Finding the Fourth Proportional to 6,997.58, 10,496.47 and 2,779.50

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Solution

The fourth proportional to 6,997.58, 10,496.47 and 2,779.50 is: 4,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.58 : 10,496.47 = 2,779.50 : x
  2. Step 2: Convert to fraction form
    6,997.58/10,496.47 = 2,779.50/x
  3. Step 3: Cross multiply
    6,997.58x = 10,496.47 × 2,779.50
  4. Step 4: Simplify right side
    6,997.58x = 29,174,938.37
  5. Step 5: Solve for x
    x = 29,174,938.37/6,997.58
  6. Step 6: Final answer
    x = 4,169.29

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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.