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Finding the Fourth Proportional to 27,971.80, 41,957.70 and 9,503.80

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Solution

The fourth proportional to 27,971.80, 41,957.70 and 9,503.80 is: 14,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.80 : 41,957.70 = 9,503.80 : x
  2. Step 2: Convert to fraction form
    27,971.80/41,957.70 = 9,503.80/x
  3. Step 3: Cross multiply
    27,971.80x = 41,957.70 × 9,503.80
  4. Step 4: Simplify right side
    27,971.80x = 398,757,589.26
  5. Step 5: Solve for x
    x = 398,757,589.26/27,971.80
  6. Step 6: Final answer
    x = 14,255.70

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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.