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Finding the Fourth Proportional to 10,649.60, 14,695.39 and 5,933.38

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Solution

The fourth proportional to 10,649.60, 14,695.39 and 5,933.38 is: 8,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.60 : 14,695.39 = 5,933.38 : x
  2. Step 2: Convert to fraction form
    10,649.60/14,695.39 = 5,933.38/x
  3. Step 3: Cross multiply
    10,649.60x = 14,695.39 × 5,933.38
  4. Step 4: Simplify right side
    10,649.60x = 87,193,333.12
  5. Step 5: Solve for x
    x = 87,193,333.12/10,649.60
  6. Step 6: Final answer
    x = 8,187.47

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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.