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Finding the Fourth Proportional to 25,710.70, 38,566.05 and 8,182.30

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Solution

The fourth proportional to 25,710.70, 38,566.05 and 8,182.30 is: 12,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.70 : 38,566.05 = 8,182.30 : x
  2. Step 2: Convert to fraction form
    25,710.70/38,566.05 = 8,182.30/x
  3. Step 3: Cross multiply
    25,710.70x = 38,566.05 × 8,182.30
  4. Step 4: Simplify right side
    25,710.70x = 315,558,990.92
  5. Step 5: Solve for x
    x = 315,558,990.92/25,710.70
  6. Step 6: Final answer
    x = 12,273.45

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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.