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Finding the Fourth Proportional to 10,720.44, 14,794.02 and 6,004.44

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Solution

The fourth proportional to 10,720.44, 14,794.02 and 6,004.44 is: 8,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.44 : 14,794.02 = 6,004.44 : x
  2. Step 2: Convert to fraction form
    10,720.44/14,794.02 = 6,004.44/x
  3. Step 3: Cross multiply
    10,720.44x = 14,794.02 × 6,004.44
  4. Step 4: Simplify right side
    10,720.44x = 88,829,805.45
  5. Step 5: Solve for x
    x = 88,829,805.45/10,720.44
  6. Step 6: Final answer
    x = 8,286.02

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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.