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Finding the Fourth Proportional to 6,953.92, 10,422 and 5,009.92

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Solution

The fourth proportional to 6,953.92, 10,422 and 5,009.92 is: 7,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.92 : 10,422 = 5,009.92 : x
  2. Step 2: Convert to fraction form
    6,953.92/10,422 = 5,009.92/x
  3. Step 3: Cross multiply
    6,953.92x = 10,422 × 5,009.92
  4. Step 4: Simplify right side
    6,953.92x = 52,213,386.24
  5. Step 5: Solve for x
    x = 52,213,386.24/6,953.92
  6. Step 6: Final answer
    x = 7,508.48

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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.