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Finding the Fourth Proportional to 11,735.82, 17,512.74 and 10,489.50

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Solution

The fourth proportional to 11,735.82, 17,512.74 and 10,489.50 is: 15,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.82 : 17,512.74 = 10,489.50 : x
  2. Step 2: Convert to fraction form
    11,735.82/17,512.74 = 10,489.50/x
  3. Step 3: Cross multiply
    11,735.82x = 17,512.74 × 10,489.50
  4. Step 4: Simplify right side
    11,735.82x = 183,699,886.23
  5. Step 5: Solve for x
    x = 183,699,886.23/11,735.82
  6. Step 6: Final answer
    x = 15,652.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.