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Finding the Fourth Proportional to 18,596.80, 27,897.90 and 6,114.70

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Solution

The fourth proportional to 18,596.80, 27,897.90 and 6,114.70 is: 9,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.80 : 27,897.90 = 6,114.70 : x
  2. Step 2: Convert to fraction form
    18,596.80/27,897.90 = 6,114.70/x
  3. Step 3: Cross multiply
    18,596.80x = 27,897.90 × 6,114.70
  4. Step 4: Simplify right side
    18,596.80x = 170,587,289.13
  5. Step 5: Solve for x
    x = 170,587,289.13/18,596.80
  6. Step 6: Final answer
    x = 9,172.94

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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.