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Finding the Fourth Proportional to 16,087.98, 24,119 and 6,860.46

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Solution

The fourth proportional to 16,087.98, 24,119 and 6,860.46 is: 10,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087.98 : 24,119 = 6,860.46 : x
  2. Step 2: Convert to fraction form
    16,087.98/24,119 = 6,860.46/x
  3. Step 3: Cross multiply
    16,087.98x = 24,119 × 6,860.46
  4. Step 4: Simplify right side
    16,087.98x = 165,467,434.74
  5. Step 5: Solve for x
    x = 165,467,434.74/16,087.98
  6. Step 6: Final answer
    x = 10,285.16

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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.