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Finding the Fourth Proportional to 10,661.58, 14,714.06 and 6,186.33

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Solution

The fourth proportional to 10,661.58, 14,714.06 and 6,186.33 is: 8,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.58 : 14,714.06 = 6,186.33 : x
  2. Step 2: Convert to fraction form
    10,661.58/14,714.06 = 6,186.33/x
  3. Step 3: Cross multiply
    10,661.58x = 14,714.06 × 6,186.33
  4. Step 4: Simplify right side
    10,661.58x = 91,025,999.87
  5. Step 5: Solve for x
    x = 91,025,999.87/10,661.58
  6. Step 6: Final answer
    x = 8,537.76

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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.