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Finding the Fourth Proportional to 13,505.14, 18,638.03 and 7,537.97

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Solution

The fourth proportional to 13,505.14, 18,638.03 and 7,537.97 is: 10,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.14 : 18,638.03 = 7,537.97 : x
  2. Step 2: Convert to fraction form
    13,505.14/18,638.03 = 7,537.97/x
  3. Step 3: Cross multiply
    13,505.14x = 18,638.03 × 7,537.97
  4. Step 4: Simplify right side
    13,505.14x = 140,492,957.59
  5. Step 5: Solve for x
    x = 140,492,957.59/13,505.14
  6. Step 6: Final answer
    x = 10,402.92

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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.