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Finding the Fourth Proportional to 8,546.65, 11,789.64 and 5,009.18

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Solution

The fourth proportional to 8,546.65, 11,789.64 and 5,009.18 is: 6,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.65 : 11,789.64 = 5,009.18 : x
  2. Step 2: Convert to fraction form
    8,546.65/11,789.64 = 5,009.18/x
  3. Step 3: Cross multiply
    8,546.65x = 11,789.64 × 5,009.18
  4. Step 4: Simplify right side
    8,546.65x = 59,056,369.95
  5. Step 5: Solve for x
    x = 59,056,369.95/8,546.65
  6. Step 6: Final answer
    x = 6,909.89

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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.