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Finding the Fourth Proportional to 25,309.50, 37,964.26 and 6,841.50

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Solution

The fourth proportional to 25,309.50, 37,964.26 and 6,841.50 is: 10,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.50 : 37,964.26 = 6,841.50 : x
  2. Step 2: Convert to fraction form
    25,309.50/37,964.26 = 6,841.50/x
  3. Step 3: Cross multiply
    25,309.50x = 37,964.26 × 6,841.50
  4. Step 4: Simplify right side
    25,309.50x = 259,732,484.79
  5. Step 5: Solve for x
    x = 259,732,484.79/25,309.50
  6. Step 6: Final answer
    x = 10,262.25

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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.