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Finding the Fourth Proportional to 11,462.80, 17,195.98 and 4,889

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Solution

The fourth proportional to 11,462.80, 17,195.98 and 4,889 is: 7,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.80 : 17,195.98 = 4,889 : x
  2. Step 2: Convert to fraction form
    11,462.80/17,195.98 = 4,889/x
  3. Step 3: Cross multiply
    11,462.80x = 17,195.98 × 4,889
  4. Step 4: Simplify right side
    11,462.80x = 84,071,146.22
  5. Step 5: Solve for x
    x = 84,071,146.22/11,462.80
  6. Step 6: Final answer
    x = 7,334.26

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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.