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Finding the Fourth Proportional to 11,537.70, 17,306.55 and 5,705.70

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Solution

The fourth proportional to 11,537.70, 17,306.55 and 5,705.70 is: 8,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.70 : 17,306.55 = 5,705.70 : x
  2. Step 2: Convert to fraction form
    11,537.70/17,306.55 = 5,705.70/x
  3. Step 3: Cross multiply
    11,537.70x = 17,306.55 × 5,705.70
  4. Step 4: Simplify right side
    11,537.70x = 98,745,982.34
  5. Step 5: Solve for x
    x = 98,745,982.34/11,537.70
  6. Step 6: Final answer
    x = 8,558.55

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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.