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Finding the Fourth Proportional to 6,598.09, 9,105.09 and 3,946.96

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Solution

The fourth proportional to 6,598.09, 9,105.09 and 3,946.96 is: 5,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.09 : 9,105.09 = 3,946.96 : x
  2. Step 2: Convert to fraction form
    6,598.09/9,105.09 = 3,946.96/x
  3. Step 3: Cross multiply
    6,598.09x = 9,105.09 × 3,946.96
  4. Step 4: Simplify right side
    6,598.09x = 35,937,426.03
  5. Step 5: Solve for x
    x = 35,937,426.03/6,598.09
  6. Step 6: Final answer
    x = 5,446.64

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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.