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Finding the Fourth Proportional to 25,451.50, 38,177.97 and 6,983.50

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Solution

The fourth proportional to 25,451.50, 38,177.97 and 6,983.50 is: 10,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,451.50 : 38,177.97 = 6,983.50 : x
  2. Step 2: Convert to fraction form
    25,451.50/38,177.97 = 6,983.50/x
  3. Step 3: Cross multiply
    25,451.50x = 38,177.97 × 6,983.50
  4. Step 4: Simplify right side
    25,451.50x = 266,615,853.50
  5. Step 5: Solve for x
    x = 266,615,853.50/25,451.50
  6. Step 6: Final answer
    x = 10,475.45

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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.