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Finding the Fourth Proportional to 16,412.70, 24,586.65 and 9,819.30

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Solution

The fourth proportional to 16,412.70, 24,586.65 and 9,819.30 is: 14,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.70 : 24,586.65 = 9,819.30 : x
  2. Step 2: Convert to fraction form
    16,412.70/24,586.65 = 9,819.30/x
  3. Step 3: Cross multiply
    16,412.70x = 24,586.65 × 9,819.30
  4. Step 4: Simplify right side
    16,412.70x = 241,423,692.35
  5. Step 5: Solve for x
    x = 241,423,692.35/16,412.70
  6. Step 6: Final answer
    x = 14,709.57

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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.