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Finding the Fourth Proportional to 11,675.80, 17,499.06 and 5,834.08

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Solution

The fourth proportional to 11,675.80, 17,499.06 and 5,834.08 is: 8,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.80 : 17,499.06 = 5,834.08 : x
  2. Step 2: Convert to fraction form
    11,675.80/17,499.06 = 5,834.08/x
  3. Step 3: Cross multiply
    11,675.80x = 17,499.06 × 5,834.08
  4. Step 4: Simplify right side
    11,675.80x = 102,090,915.96
  5. Step 5: Solve for x
    x = 102,090,915.96/11,675.80
  6. Step 6: Final answer
    x = 8,743.80

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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.