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Finding the Fourth Proportional to 11,471.42, 17,213.06 and 4,895.84

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Solution

The fourth proportional to 11,471.42, 17,213.06 and 4,895.84 is: 7,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.42 : 17,213.06 = 4,895.84 : x
  2. Step 2: Convert to fraction form
    11,471.42/17,213.06 = 4,895.84/x
  3. Step 3: Cross multiply
    11,471.42x = 17,213.06 × 4,895.84
  4. Step 4: Simplify right side
    11,471.42x = 84,272,415.40
  5. Step 5: Solve for x
    x = 84,272,415.40/11,471.42
  6. Step 6: Final answer
    x = 7,346.29

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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.