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Finding the Fourth Proportional to 25,972.41, 38,953.02 and 8,204.46

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Solution

The fourth proportional to 25,972.41, 38,953.02 and 8,204.46 is: 12,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.41 : 38,953.02 = 8,204.46 : x
  2. Step 2: Convert to fraction form
    25,972.41/38,953.02 = 8,204.46/x
  3. Step 3: Cross multiply
    25,972.41x = 38,953.02 × 8,204.46
  4. Step 4: Simplify right side
    25,972.41x = 319,588,494.47
  5. Step 5: Solve for x
    x = 319,588,494.47/25,972.41
  6. Step 6: Final answer
    x = 12,304.92

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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.