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Finding the Fourth Proportional to 25,615.71, 38,424.15 and 7,846.74

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Solution

The fourth proportional to 25,615.71, 38,424.15 and 7,846.74 is: 11,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.71 : 38,424.15 = 7,846.74 : x
  2. Step 2: Convert to fraction form
    25,615.71/38,424.15 = 7,846.74/x
  3. Step 3: Cross multiply
    25,615.71x = 38,424.15 × 7,846.74
  4. Step 4: Simplify right side
    25,615.71x = 301,504,314.77
  5. Step 5: Solve for x
    x = 301,504,314.77/25,615.71
  6. Step 6: Final answer
    x = 11,770.29

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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.