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Finding the Fourth Proportional to 27,764.53, 41,646.80 and 8,043.09

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Solution

The fourth proportional to 27,764.53, 41,646.80 and 8,043.09 is: 12,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.53 : 41,646.80 = 8,043.09 : x
  2. Step 2: Convert to fraction form
    27,764.53/41,646.80 = 8,043.09/x
  3. Step 3: Cross multiply
    27,764.53x = 41,646.80 × 8,043.09
  4. Step 4: Simplify right side
    27,764.53x = 334,968,920.40
  5. Step 5: Solve for x
    x = 334,968,920.40/27,764.53
  6. Step 6: Final answer
    x = 12,064.64

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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.