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Finding the Fourth Proportional to 12,452.42, 18,653.12 and 9,973.82

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Solution

The fourth proportional to 12,452.42, 18,653.12 and 9,973.82 is: 14,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.42 : 18,653.12 = 9,973.82 : x
  2. Step 2: Convert to fraction form
    12,452.42/18,653.12 = 9,973.82/x
  3. Step 3: Cross multiply
    12,452.42x = 18,653.12 × 9,973.82
  4. Step 4: Simplify right side
    12,452.42x = 186,042,861.32
  5. Step 5: Solve for x
    x = 186,042,861.32/12,452.42
  6. Step 6: Final answer
    x = 14,940.30

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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.