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Finding the Fourth Proportional to 6,999.59, 9,659.29 and 3,812.92

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Solution

The fourth proportional to 6,999.59, 9,659.29 and 3,812.92 is: 5,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.59 : 9,659.29 = 3,812.92 : x
  2. Step 2: Convert to fraction form
    6,999.59/9,659.29 = 3,812.92/x
  3. Step 3: Cross multiply
    6,999.59x = 9,659.29 × 3,812.92
  4. Step 4: Simplify right side
    6,999.59x = 36,830,100.03
  5. Step 5: Solve for x
    x = 36,830,100.03/6,999.59
  6. Step 6: Final answer
    x = 5,261.75

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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.