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Finding the Fourth Proportional to 10,480.44, 14,462.44 and 5,763.80

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Solution

The fourth proportional to 10,480.44, 14,462.44 and 5,763.80 is: 7,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.44 : 14,462.44 = 5,763.80 : x
  2. Step 2: Convert to fraction form
    10,480.44/14,462.44 = 5,763.80/x
  3. Step 3: Cross multiply
    10,480.44x = 14,462.44 × 5,763.80
  4. Step 4: Simplify right side
    10,480.44x = 83,358,611.67
  5. Step 5: Solve for x
    x = 83,358,611.67/10,480.44
  6. Step 6: Final answer
    x = 7,953.73

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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.