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Finding the Fourth Proportional to 9,892.73, 13,636.65 and 7,371

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Solution

The fourth proportional to 9,892.73, 13,636.65 and 7,371 is: 10,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.73 : 13,636.65 = 7,371 : x
  2. Step 2: Convert to fraction form
    9,892.73/13,636.65 = 7,371/x
  3. Step 3: Cross multiply
    9,892.73x = 13,636.65 × 7,371
  4. Step 4: Simplify right side
    9,892.73x = 100,515,774.79
  5. Step 5: Solve for x
    x = 100,515,774.79/9,892.73
  6. Step 6: Final answer
    x = 10,160.57

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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.