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Finding the Fourth Proportional to 13,817.40, 20,747.70 and 7,985.40

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Solution

The fourth proportional to 13,817.40, 20,747.70 and 7,985.40 is: 11,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.40 : 20,747.70 = 7,985.40 : x
  2. Step 2: Convert to fraction form
    13,817.40/20,747.70 = 7,985.40/x
  3. Step 3: Cross multiply
    13,817.40x = 20,747.70 × 7,985.40
  4. Step 4: Simplify right side
    13,817.40x = 165,678,683.58
  5. Step 5: Solve for x
    x = 165,678,683.58/13,817.40
  6. Step 6: Final answer
    x = 11,990.58

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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.