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Finding the Fourth Proportional to 11,378.34, 17,059.73 and 5,827.14

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Solution

The fourth proportional to 11,378.34, 17,059.73 and 5,827.14 is: 8,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.34 : 17,059.73 = 5,827.14 : x
  2. Step 2: Convert to fraction form
    11,378.34/17,059.73 = 5,827.14/x
  3. Step 3: Cross multiply
    11,378.34x = 17,059.73 × 5,827.14
  4. Step 4: Simplify right side
    11,378.34x = 99,409,405.94
  5. Step 5: Solve for x
    x = 99,409,405.94/11,378.34
  6. Step 6: Final answer
    x = 8,736.72

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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.