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Finding the Fourth Proportional to 25,700.34, 38,553.09 and 6,980.67

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Solution

The fourth proportional to 25,700.34, 38,553.09 and 6,980.67 is: 10,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.34 : 38,553.09 = 6,980.67 : x
  2. Step 2: Convert to fraction form
    25,700.34/38,553.09 = 6,980.67/x
  3. Step 3: Cross multiply
    25,700.34x = 38,553.09 × 6,980.67
  4. Step 4: Simplify right side
    25,700.34x = 269,126,398.77
  5. Step 5: Solve for x
    x = 269,126,398.77/25,700.34
  6. Step 6: Final answer
    x = 10,471.71

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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.