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Finding the Fourth Proportional to 25,310.28, 37,965.36 and 6,842.28

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Solution

The fourth proportional to 25,310.28, 37,965.36 and 6,842.28 is: 10,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.28 : 37,965.36 = 6,842.28 : x
  2. Step 2: Convert to fraction form
    25,310.28/37,965.36 = 6,842.28/x
  3. Step 3: Cross multiply
    25,310.28x = 37,965.36 × 6,842.28
  4. Step 4: Simplify right side
    25,310.28x = 259,769,623.42
  5. Step 5: Solve for x
    x = 259,769,623.42/25,310.28
  6. Step 6: Final answer
    x = 10,263.40

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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.