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Finding the Fourth Proportional to 25,321.80, 37,982.70 and 6,853.80

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Solution

The fourth proportional to 25,321.80, 37,982.70 and 6,853.80 is: 10,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321.80 : 37,982.70 = 6,853.80 : x
  2. Step 2: Convert to fraction form
    25,321.80/37,982.70 = 6,853.80/x
  3. Step 3: Cross multiply
    25,321.80x = 37,982.70 × 6,853.80
  4. Step 4: Simplify right side
    25,321.80x = 260,325,829.26
  5. Step 5: Solve for x
    x = 260,325,829.26/25,321.80
  6. Step 6: Final answer
    x = 10,280.70

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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.