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Finding the Fourth Proportional to 16,461.92, 24,692.16 and 4,774.88

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Solution

The fourth proportional to 16,461.92, 24,692.16 and 4,774.88 is: 7,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.92 : 24,692.16 = 4,774.88 : x
  2. Step 2: Convert to fraction form
    16,461.92/24,692.16 = 4,774.88/x
  3. Step 3: Cross multiply
    16,461.92x = 24,692.16 × 4,774.88
  4. Step 4: Simplify right side
    16,461.92x = 117,902,100.94
  5. Step 5: Solve for x
    x = 117,902,100.94/16,461.92
  6. Step 6: Final answer
    x = 7,162.11

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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.