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Finding the Fourth Proportional to 10,720.33, 14,794.03 and 6,004.64

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Solution

The fourth proportional to 10,720.33, 14,794.03 and 6,004.64 is: 8,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.33 : 14,794.03 = 6,004.64 : x
  2. Step 2: Convert to fraction form
    10,720.33/14,794.03 = 6,004.64/x
  3. Step 3: Cross multiply
    10,720.33x = 14,794.03 × 6,004.64
  4. Step 4: Simplify right side
    10,720.33x = 88,832,824.30
  5. Step 5: Solve for x
    x = 88,832,824.30/10,720.33
  6. Step 6: Final answer
    x = 8,286.39

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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.