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Finding the Fourth Proportional to 14,914.44, 20,583 and 8,946.36

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Solution

The fourth proportional to 14,914.44, 20,583 and 8,946.36 is: 12,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.44 : 20,583 = 8,946.36 : x
  2. Step 2: Convert to fraction form
    14,914.44/20,583 = 8,946.36/x
  3. Step 3: Cross multiply
    14,914.44x = 20,583 × 8,946.36
  4. Step 4: Simplify right side
    14,914.44x = 184,142,927.88
  5. Step 5: Solve for x
    x = 184,142,927.88/14,914.44
  6. Step 6: Final answer
    x = 12,346.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.