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Finding the Fourth Proportional to 10,649.64, 15,976.50 and 5,099.22

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Solution

The fourth proportional to 10,649.64, 15,976.50 and 5,099.22 is: 7,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.64 : 15,976.50 = 5,099.22 : x
  2. Step 2: Convert to fraction form
    10,649.64/15,976.50 = 5,099.22/x
  3. Step 3: Cross multiply
    10,649.64x = 15,976.50 × 5,099.22
  4. Step 4: Simplify right side
    10,649.64x = 81,467,688.33
  5. Step 5: Solve for x
    x = 81,467,688.33/10,649.64
  6. Step 6: Final answer
    x = 7,649.81

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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.