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Finding the Fourth Proportional to 11,954.42, 16,497.42 and 7,235.96

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Solution

The fourth proportional to 11,954.42, 16,497.42 and 7,235.96 is: 9,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.42 : 16,497.42 = 7,235.96 : x
  2. Step 2: Convert to fraction form
    11,954.42/16,497.42 = 7,235.96/x
  3. Step 3: Cross multiply
    11,954.42x = 16,497.42 × 7,235.96
  4. Step 4: Simplify right side
    11,954.42x = 119,374,671.22
  5. Step 5: Solve for x
    x = 119,374,671.22/11,954.42
  6. Step 6: Final answer
    x = 9,985.82

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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.