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Finding the Fourth Proportional to 11,776.71, 16,252.77 and 6,742.51

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Solution

The fourth proportional to 11,776.71, 16,252.77 and 6,742.51 is: 9,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.71 : 16,252.77 = 6,742.51 : x
  2. Step 2: Convert to fraction form
    11,776.71/16,252.77 = 6,742.51/x
  3. Step 3: Cross multiply
    11,776.71x = 16,252.77 × 6,742.51
  4. Step 4: Simplify right side
    11,776.71x = 109,584,525.20
  5. Step 5: Solve for x
    x = 109,584,525.20/11,776.71
  6. Step 6: Final answer
    x = 9,305.19

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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.