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Finding the Fourth Proportional to 25,084.91, 37,633.12 and 8,444.49

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Solution

The fourth proportional to 25,084.91, 37,633.12 and 8,444.49 is: 12,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.91 : 37,633.12 = 8,444.49 : x
  2. Step 2: Convert to fraction form
    25,084.91/37,633.12 = 8,444.49/x
  3. Step 3: Cross multiply
    25,084.91x = 37,633.12 × 8,444.49
  4. Step 4: Simplify right side
    25,084.91x = 317,792,505.51
  5. Step 5: Solve for x
    x = 317,792,505.51/25,084.91
  6. Step 6: Final answer
    x = 12,668.67

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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.