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Finding the Fourth Proportional to 7,309.92, 10,969.20 and 2,696.16

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Solution

The fourth proportional to 7,309.92, 10,969.20 and 2,696.16 is: 4,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.92 : 10,969.20 = 2,696.16 : x
  2. Step 2: Convert to fraction form
    7,309.92/10,969.20 = 2,696.16/x
  3. Step 3: Cross multiply
    7,309.92x = 10,969.20 × 2,696.16
  4. Step 4: Simplify right side
    7,309.92x = 29,574,718.27
  5. Step 5: Solve for x
    x = 29,574,718.27/7,309.92
  6. Step 6: Final answer
    x = 4,045.83

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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.