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Finding the Fourth Proportional to 6,977.44, 9,634.44 and 5,402.80

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Solution

The fourth proportional to 6,977.44, 9,634.44 and 5,402.80 is: 7,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.44 : 9,634.44 = 5,402.80 : x
  2. Step 2: Convert to fraction form
    6,977.44/9,634.44 = 5,402.80/x
  3. Step 3: Cross multiply
    6,977.44x = 9,634.44 × 5,402.80
  4. Step 4: Simplify right side
    6,977.44x = 52,052,952.43
  5. Step 5: Solve for x
    x = 52,052,952.43/6,977.44
  6. Step 6: Final answer
    x = 7,460.18

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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.