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Finding the Fourth Proportional to 25,983.56, 38,971.02 and 9,340.22

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Solution

The fourth proportional to 25,983.56, 38,971.02 and 9,340.22 is: 14,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.56 : 38,971.02 = 9,340.22 : x
  2. Step 2: Convert to fraction form
    25,983.56/38,971.02 = 9,340.22/x
  3. Step 3: Cross multiply
    25,983.56x = 38,971.02 × 9,340.22
  4. Step 4: Simplify right side
    25,983.56x = 363,997,900.42
  5. Step 5: Solve for x
    x = 363,997,900.42/25,983.56
  6. Step 6: Final answer
    x = 14,008.78

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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.