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Finding the Fourth Proportional to 7,095.96, 9,805.92 and 5,324.48

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Solution

The fourth proportional to 7,095.96, 9,805.92 and 5,324.48 is: 7,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.96 : 9,805.92 = 5,324.48 : x
  2. Step 2: Convert to fraction form
    7,095.96/9,805.92 = 5,324.48/x
  3. Step 3: Cross multiply
    7,095.96x = 9,805.92 × 5,324.48
  4. Step 4: Simplify right side
    7,095.96x = 52,211,424.92
  5. Step 5: Solve for x
    x = 52,211,424.92/7,095.96
  6. Step 6: Final answer
    x = 7,357.91

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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.