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Finding the Fourth Proportional to 12,073.96, 18,110.94 and 7,969

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Solution

The fourth proportional to 12,073.96, 18,110.94 and 7,969 is: 11,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.96 : 18,110.94 = 7,969 : x
  2. Step 2: Convert to fraction form
    12,073.96/18,110.94 = 7,969/x
  3. Step 3: Cross multiply
    12,073.96x = 18,110.94 × 7,969
  4. Step 4: Simplify right side
    12,073.96x = 144,326,080.86
  5. Step 5: Solve for x
    x = 144,326,080.86/12,073.96
  6. Step 6: Final answer
    x = 11,953.50

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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.