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Finding the Fourth Proportional to 9,999.81, 14,986.17 and 5,546.97

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Solution

The fourth proportional to 9,999.81, 14,986.17 and 5,546.97 is: 8,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.81 : 14,986.17 = 5,546.97 : x
  2. Step 2: Convert to fraction form
    9,999.81/14,986.17 = 5,546.97/x
  3. Step 3: Cross multiply
    9,999.81x = 14,986.17 × 5,546.97
  4. Step 4: Simplify right side
    9,999.81x = 83,127,835.40
  5. Step 5: Solve for x
    x = 83,127,835.40/9,999.81
  6. Step 6: Final answer
    x = 8,312.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.