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Finding the Fourth Proportional to 11,584.56, 15,993.59 and 7,612.59

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Solution

The fourth proportional to 11,584.56, 15,993.59 and 7,612.59 is: 10,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.56 : 15,993.59 = 7,612.59 : x
  2. Step 2: Convert to fraction form
    11,584.56/15,993.59 = 7,612.59/x
  3. Step 3: Cross multiply
    11,584.56x = 15,993.59 × 7,612.59
  4. Step 4: Simplify right side
    11,584.56x = 121,752,605.24
  5. Step 5: Solve for x
    x = 121,752,605.24/11,584.56
  6. Step 6: Final answer
    x = 10,509.90

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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.