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Finding the Fourth Proportional to 11,766.15, 16,237.13 and 7,051.95

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Solution

The fourth proportional to 11,766.15, 16,237.13 and 7,051.95 is: 9,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.15 : 16,237.13 = 7,051.95 : x
  2. Step 2: Convert to fraction form
    11,766.15/16,237.13 = 7,051.95/x
  3. Step 3: Cross multiply
    11,766.15x = 16,237.13 × 7,051.95
  4. Step 4: Simplify right side
    11,766.15x = 114,503,393.64
  5. Step 5: Solve for x
    x = 114,503,393.64/11,766.15
  6. Step 6: Final answer
    x = 9,731.59

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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.