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Finding the Fourth Proportional to 11,957.94, 16,506.48 and 7,977.60

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Solution

The fourth proportional to 11,957.94, 16,506.48 and 7,977.60 is: 11,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.94 : 16,506.48 = 7,977.60 : x
  2. Step 2: Convert to fraction form
    11,957.94/16,506.48 = 7,977.60/x
  3. Step 3: Cross multiply
    11,957.94x = 16,506.48 × 7,977.60
  4. Step 4: Simplify right side
    11,957.94x = 131,682,094.85
  5. Step 5: Solve for x
    x = 131,682,094.85/11,957.94
  6. Step 6: Final answer
    x = 11,012.11

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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.