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Finding the Fourth Proportional to 25,778.75, 38,674.61 and 7,310.75

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Solution

The fourth proportional to 25,778.75, 38,674.61 and 7,310.75 is: 10,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.75 : 38,674.61 = 7,310.75 : x
  2. Step 2: Convert to fraction form
    25,778.75/38,674.61 = 7,310.75/x
  3. Step 3: Cross multiply
    25,778.75x = 38,674.61 × 7,310.75
  4. Step 4: Simplify right side
    25,778.75x = 282,740,368.50
  5. Step 5: Solve for x
    x = 282,740,368.50/25,778.75
  6. Step 6: Final answer
    x = 10,967.96

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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.