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Finding the Fourth Proportional to 17,049.84, 23,528 and 9,495.76

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Solution

The fourth proportional to 17,049.84, 23,528 and 9,495.76 is: 13,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049.84 : 23,528 = 9,495.76 : x
  2. Step 2: Convert to fraction form
    17,049.84/23,528 = 9,495.76/x
  3. Step 3: Cross multiply
    17,049.84x = 23,528 × 9,495.76
  4. Step 4: Simplify right side
    17,049.84x = 223,416,241.28
  5. Step 5: Solve for x
    x = 223,416,241.28/17,049.84
  6. Step 6: Final answer
    x = 13,103.71

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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.