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Finding the Fourth Proportional to 15,997.40, 24,006.90 and 8,977.40

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Solution

The fourth proportional to 15,997.40, 24,006.90 and 8,977.40 is: 13,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.40 : 24,006.90 = 8,977.40 : x
  2. Step 2: Convert to fraction form
    15,997.40/24,006.90 = 8,977.40/x
  3. Step 3: Cross multiply
    15,997.40x = 24,006.90 × 8,977.40
  4. Step 4: Simplify right side
    15,997.40x = 215,519,544.06
  5. Step 5: Solve for x
    x = 215,519,544.06/15,997.40
  6. Step 6: Final answer
    x = 13,472.16

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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.