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Finding the Fourth Proportional to 25,225.20, 37,837.80 and 9,640.80

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Solution

The fourth proportional to 25,225.20, 37,837.80 and 9,640.80 is: 14,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.20 : 37,837.80 = 9,640.80 : x
  2. Step 2: Convert to fraction form
    25,225.20/37,837.80 = 9,640.80/x
  3. Step 3: Cross multiply
    25,225.20x = 37,837.80 × 9,640.80
  4. Step 4: Simplify right side
    25,225.20x = 364,786,662.24
  5. Step 5: Solve for x
    x = 364,786,662.24/25,225.20
  6. Step 6: Final answer
    x = 14,461.20

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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.