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Finding the Fourth Proportional to 5,009.92, 6,907.38 and 3,214.22

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Solution

The fourth proportional to 5,009.92, 6,907.38 and 3,214.22 is: 4,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.92 : 6,907.38 = 3,214.22 : x
  2. Step 2: Convert to fraction form
    5,009.92/6,907.38 = 3,214.22/x
  3. Step 3: Cross multiply
    5,009.92x = 6,907.38 × 3,214.22
  4. Step 4: Simplify right side
    5,009.92x = 22,201,838.94
  5. Step 5: Solve for x
    x = 22,201,838.94/5,009.92
  6. Step 6: Final answer
    x = 4,431.58

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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.