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Finding the Fourth Proportional to 10,420.13, 14,380.94 and 5,944.99

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Solution

The fourth proportional to 10,420.13, 14,380.94 and 5,944.99 is: 8,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.13 : 14,380.94 = 5,944.99 : x
  2. Step 2: Convert to fraction form
    10,420.13/14,380.94 = 5,944.99/x
  3. Step 3: Cross multiply
    10,420.13x = 14,380.94 × 5,944.99
  4. Step 4: Simplify right side
    10,420.13x = 85,494,442.86
  5. Step 5: Solve for x
    x = 85,494,442.86/10,420.13
  6. Step 6: Final answer
    x = 8,204.74

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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.