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Finding the Fourth Proportional to 11,594.44, 17,306.76 and 9,961.48

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Solution

The fourth proportional to 11,594.44, 17,306.76 and 9,961.48 is: 14,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.44 : 17,306.76 = 9,961.48 : x
  2. Step 2: Convert to fraction form
    11,594.44/17,306.76 = 9,961.48/x
  3. Step 3: Cross multiply
    11,594.44x = 17,306.76 × 9,961.48
  4. Step 4: Simplify right side
    11,594.44x = 172,400,943.60
  5. Step 5: Solve for x
    x = 172,400,943.60/11,594.44
  6. Step 6: Final answer
    x = 14,869.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.