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Finding the Fourth Proportional to 11,777.63, 16,252.36 and 6,741.89

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Solution

The fourth proportional to 11,777.63, 16,252.36 and 6,741.89 is: 9,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.63 : 16,252.36 = 6,741.89 : x
  2. Step 2: Convert to fraction form
    11,777.63/16,252.36 = 6,741.89/x
  3. Step 3: Cross multiply
    11,777.63x = 16,252.36 × 6,741.89
  4. Step 4: Simplify right side
    11,777.63x = 109,571,623.36
  5. Step 5: Solve for x
    x = 109,571,623.36/11,777.63
  6. Step 6: Final answer
    x = 9,303.37

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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.