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Finding the Fourth Proportional to 11,706.96, 17,559.48 and 3,498.96

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Solution

The fourth proportional to 11,706.96, 17,559.48 and 3,498.96 is: 5,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.96 : 17,559.48 = 3,498.96 : x
  2. Step 2: Convert to fraction form
    11,706.96/17,559.48 = 3,498.96/x
  3. Step 3: Cross multiply
    11,706.96x = 17,559.48 × 3,498.96
  4. Step 4: Simplify right side
    11,706.96x = 61,439,918.14
  5. Step 5: Solve for x
    x = 61,439,918.14/11,706.96
  6. Step 6: Final answer
    x = 5,248.15

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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.