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Finding the Fourth Proportional to 10,410.53, 14,366.87 and 5,934.20

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Solution

The fourth proportional to 10,410.53, 14,366.87 and 5,934.20 is: 8,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.53 : 14,366.87 = 5,934.20 : x
  2. Step 2: Convert to fraction form
    10,410.53/14,366.87 = 5,934.20/x
  3. Step 3: Cross multiply
    10,410.53x = 14,366.87 × 5,934.20
  4. Step 4: Simplify right side
    10,410.53x = 85,255,778.45
  5. Step 5: Solve for x
    x = 85,255,778.45/10,410.53
  6. Step 6: Final answer
    x = 8,189.38

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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.