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Finding the Fourth Proportional to 11,972.93, 16,495.11 and 9,454.12

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Solution

The fourth proportional to 11,972.93, 16,495.11 and 9,454.12 is: 13,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.93 : 16,495.11 = 9,454.12 : x
  2. Step 2: Convert to fraction form
    11,972.93/16,495.11 = 9,454.12/x
  3. Step 3: Cross multiply
    11,972.93x = 16,495.11 × 9,454.12
  4. Step 4: Simplify right side
    11,972.93x = 155,946,708.12
  5. Step 5: Solve for x
    x = 155,946,708.12/11,972.93
  6. Step 6: Final answer
    x = 13,024.94

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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.