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Finding the Fourth Proportional to 14,323.62, 21,493.94 and 7,749.66

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Solution

The fourth proportional to 14,323.62, 21,493.94 and 7,749.66 is: 11,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.62 : 21,493.94 = 7,749.66 : x
  2. Step 2: Convert to fraction form
    14,323.62/21,493.94 = 7,749.66/x
  3. Step 3: Cross multiply
    14,323.62x = 21,493.94 × 7,749.66
  4. Step 4: Simplify right side
    14,323.62x = 166,570,688.31
  5. Step 5: Solve for x
    x = 166,570,688.31/14,323.62
  6. Step 6: Final answer
    x = 11,629.09

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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.