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Finding the Fourth Proportional to 7,757.26, 11,687.54 and 7,017.68

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Solution

The fourth proportional to 7,757.26, 11,687.54 and 7,017.68 is: 10,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.26 : 11,687.54 = 7,017.68 : x
  2. Step 2: Convert to fraction form
    7,757.26/11,687.54 = 7,017.68/x
  3. Step 3: Cross multiply
    7,757.26x = 11,687.54 × 7,017.68
  4. Step 4: Simplify right side
    7,757.26x = 82,019,415.71
  5. Step 5: Solve for x
    x = 82,019,415.71/7,757.26
  6. Step 6: Final answer
    x = 10,573.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.