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Finding the Fourth Proportional to 16,331.94, 24,489.78 and 6,970.50

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Solution

The fourth proportional to 16,331.94, 24,489.78 and 6,970.50 is: 10,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.94 : 24,489.78 = 6,970.50 : x
  2. Step 2: Convert to fraction form
    16,331.94/24,489.78 = 6,970.50/x
  3. Step 3: Cross multiply
    16,331.94x = 24,489.78 × 6,970.50
  4. Step 4: Simplify right side
    16,331.94x = 170,706,011.49
  5. Step 5: Solve for x
    x = 170,706,011.49/16,331.94
  6. Step 6: Final answer
    x = 10,452.28

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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.