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Finding the Fourth Proportional to 6,945.92, 9,585.60 and 3,802.22

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Solution

The fourth proportional to 6,945.92, 9,585.60 and 3,802.22 is: 5,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.92 : 9,585.60 = 3,802.22 : x
  2. Step 2: Convert to fraction form
    6,945.92/9,585.60 = 3,802.22/x
  3. Step 3: Cross multiply
    6,945.92x = 9,585.60 × 3,802.22
  4. Step 4: Simplify right side
    6,945.92x = 36,446,560.03
  5. Step 5: Solve for x
    x = 36,446,560.03/6,945.92
  6. Step 6: Final answer
    x = 5,247.19

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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.