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Finding the Fourth Proportional to 10,661.82, 14,713.26 and 5,881.63

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Solution

The fourth proportional to 10,661.82, 14,713.26 and 5,881.63 is: 8,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.82 : 14,713.26 = 5,881.63 : x
  2. Step 2: Convert to fraction form
    10,661.82/14,713.26 = 5,881.63/x
  3. Step 3: Cross multiply
    10,661.82x = 14,713.26 × 5,881.63
  4. Step 4: Simplify right side
    10,661.82x = 86,537,951.41
  5. Step 5: Solve for x
    x = 86,537,951.41/10,661.82
  6. Step 6: Final answer
    x = 8,116.62

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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.