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Finding the Fourth Proportional to 7,086.74, 9,779.43 and 3,899.84

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Solution

The fourth proportional to 7,086.74, 9,779.43 and 3,899.84 is: 5,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.74 : 9,779.43 = 3,899.84 : x
  2. Step 2: Convert to fraction form
    7,086.74/9,779.43 = 3,899.84/x
  3. Step 3: Cross multiply
    7,086.74x = 9,779.43 × 3,899.84
  4. Step 4: Simplify right side
    7,086.74x = 38,138,236.74
  5. Step 5: Solve for x
    x = 38,138,236.74/7,086.74
  6. Step 6: Final answer
    x = 5,381.63

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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.