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Finding the Fourth Proportional to 11,777.76, 16,252.38 and 6,742.08

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Solution

The fourth proportional to 11,777.76, 16,252.38 and 6,742.08 is: 9,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.76 : 16,252.38 = 6,742.08 : x
  2. Step 2: Convert to fraction form
    11,777.76/16,252.38 = 6,742.08/x
  3. Step 3: Cross multiply
    11,777.76x = 16,252.38 × 6,742.08
  4. Step 4: Simplify right side
    11,777.76x = 109,574,846.15
  5. Step 5: Solve for x
    x = 109,574,846.15/11,777.76
  6. Step 6: Final answer
    x = 9,303.54

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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.