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Finding the Fourth Proportional to 10,738.80, 16,127.40 and 7,820.40

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Solution

The fourth proportional to 10,738.80, 16,127.40 and 7,820.40 is: 11,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.80 : 16,127.40 = 7,820.40 : x
  2. Step 2: Convert to fraction form
    10,738.80/16,127.40 = 7,820.40/x
  3. Step 3: Cross multiply
    10,738.80x = 16,127.40 × 7,820.40
  4. Step 4: Simplify right side
    10,738.80x = 126,122,718.96
  5. Step 5: Solve for x
    x = 126,122,718.96/10,738.80
  6. Step 6: Final answer
    x = 11,744.58

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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.