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Finding the Fourth Proportional to 11,553.94, 15,946.91 and 7,302.30

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Solution

The fourth proportional to 11,553.94, 15,946.91 and 7,302.30 is: 10,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.94 : 15,946.91 = 7,302.30 : x
  2. Step 2: Convert to fraction form
    11,553.94/15,946.91 = 7,302.30/x
  3. Step 3: Cross multiply
    11,553.94x = 15,946.91 × 7,302.30
  4. Step 4: Simplify right side
    11,553.94x = 116,449,120.89
  5. Step 5: Solve for x
    x = 116,449,120.89/11,553.94
  6. Step 6: Final answer
    x = 10,078.74

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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.