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Finding the Fourth Proportional to 11,588.52, 15,970.74 and 8,231.46

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Solution

The fourth proportional to 11,588.52, 15,970.74 and 8,231.46 is: 11,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.52 : 15,970.74 = 8,231.46 : x
  2. Step 2: Convert to fraction form
    11,588.52/15,970.74 = 8,231.46/x
  3. Step 3: Cross multiply
    11,588.52x = 15,970.74 × 8,231.46
  4. Step 4: Simplify right side
    11,588.52x = 131,462,507.48
  5. Step 5: Solve for x
    x = 131,462,507.48/11,588.52
  6. Step 6: Final answer
    x = 11,344.20

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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.