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Finding the Fourth Proportional to 11,756.58, 17,634.90 and 5,182.80

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Solution

The fourth proportional to 11,756.58, 17,634.90 and 5,182.80 is: 7,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.58 : 17,634.90 = 5,182.80 : x
  2. Step 2: Convert to fraction form
    11,756.58/17,634.90 = 5,182.80/x
  3. Step 3: Cross multiply
    11,756.58x = 17,634.90 × 5,182.80
  4. Step 4: Simplify right side
    11,756.58x = 91,398,159.72
  5. Step 5: Solve for x
    x = 91,398,159.72/11,756.58
  6. Step 6: Final answer
    x = 7,774.21

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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.