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Finding the Fourth Proportional to 11,503.92, 17,254.22 and 3,184.52

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Solution

The fourth proportional to 11,503.92, 17,254.22 and 3,184.52 is: 4,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.92 : 17,254.22 = 3,184.52 : x
  2. Step 2: Convert to fraction form
    11,503.92/17,254.22 = 3,184.52/x
  3. Step 3: Cross multiply
    11,503.92x = 17,254.22 × 3,184.52
  4. Step 4: Simplify right side
    11,503.92x = 54,946,306.48
  5. Step 5: Solve for x
    x = 54,946,306.48/11,503.92
  6. Step 6: Final answer
    x = 4,776.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.