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Finding the Fourth Proportional to 6,114.29, 9,171.43 and 5,802.64

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Solution

The fourth proportional to 6,114.29, 9,171.43 and 5,802.64 is: 8,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.29 : 9,171.43 = 5,802.64 : x
  2. Step 2: Convert to fraction form
    6,114.29/9,171.43 = 5,802.64/x
  3. Step 3: Cross multiply
    6,114.29x = 9,171.43 × 5,802.64
  4. Step 4: Simplify right side
    6,114.29x = 53,218,469.14
  5. Step 5: Solve for x
    x = 53,218,469.14/6,114.29
  6. Step 6: Final answer
    x = 8,703.96

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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.