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Finding the Fourth Proportional to 11,380.56, 15,703.68 and 6,343.56

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Solution

The fourth proportional to 11,380.56, 15,703.68 and 6,343.56 is: 8,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.56 : 15,703.68 = 6,343.56 : x
  2. Step 2: Convert to fraction form
    11,380.56/15,703.68 = 6,343.56/x
  3. Step 3: Cross multiply
    11,380.56x = 15,703.68 × 6,343.56
  4. Step 4: Simplify right side
    11,380.56x = 99,617,236.30
  5. Step 5: Solve for x
    x = 99,617,236.30/11,380.56
  6. Step 6: Final answer
    x = 8,753.28

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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.