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Finding the Fourth Proportional to 25,996.80, 38,971.26 and 8,457.60

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Solution

The fourth proportional to 25,996.80, 38,971.26 and 8,457.60 is: 12,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.80 : 38,971.26 = 8,457.60 : x
  2. Step 2: Convert to fraction form
    25,996.80/38,971.26 = 8,457.60/x
  3. Step 3: Cross multiply
    25,996.80x = 38,971.26 × 8,457.60
  4. Step 4: Simplify right side
    25,996.80x = 329,603,328.58
  5. Step 5: Solve for x
    x = 329,603,328.58/25,996.80
  6. Step 6: Final answer
    x = 12,678.61

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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.