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Finding the Fourth Proportional to 11,646.80, 16,072.22 and 6,341.58

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Solution

The fourth proportional to 11,646.80, 16,072.22 and 6,341.58 is: 8,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.80 : 16,072.22 = 6,341.58 : x
  2. Step 2: Convert to fraction form
    11,646.80/16,072.22 = 6,341.58/x
  3. Step 3: Cross multiply
    11,646.80x = 16,072.22 × 6,341.58
  4. Step 4: Simplify right side
    11,646.80x = 101,923,268.91
  5. Step 5: Solve for x
    x = 101,923,268.91/11,646.80
  6. Step 6: Final answer
    x = 8,751.18

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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.