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Finding the Fourth Proportional to 7,569.33, 10,451.07 and 5,812.44

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Solution

The fourth proportional to 7,569.33, 10,451.07 and 5,812.44 is: 8,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.33 : 10,451.07 = 5,812.44 : x
  2. Step 2: Convert to fraction form
    7,569.33/10,451.07 = 5,812.44/x
  3. Step 3: Cross multiply
    7,569.33x = 10,451.07 × 5,812.44
  4. Step 4: Simplify right side
    7,569.33x = 60,746,217.31
  5. Step 5: Solve for x
    x = 60,746,217.31/7,569.33
  6. Step 6: Final answer
    x = 8,025.31

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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.