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Finding the Fourth Proportional to 27,697.80, 41,480.46 and 15,975.48

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Solution

The fourth proportional to 27,697.80, 41,480.46 and 15,975.48 is: 23,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.80 : 41,480.46 = 15,975.48 : x
  2. Step 2: Convert to fraction form
    27,697.80/41,480.46 = 15,975.48/x
  3. Step 3: Cross multiply
    27,697.80x = 41,480.46 × 15,975.48
  4. Step 4: Simplify right side
    27,697.80x = 662,670,259.12
  5. Step 5: Solve for x
    x = 662,670,259.12/27,697.80
  6. Step 6: Final answer
    x = 23,925.01

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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.