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Finding the Fourth Proportional to 6,565.92, 9,850.32 and 1,949.28

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Solution

The fourth proportional to 6,565.92, 9,850.32 and 1,949.28 is: 2,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.92 : 9,850.32 = 1,949.28 : x
  2. Step 2: Convert to fraction form
    6,565.92/9,850.32 = 1,949.28/x
  3. Step 3: Cross multiply
    6,565.92x = 9,850.32 × 1,949.28
  4. Step 4: Simplify right side
    6,565.92x = 19,201,031.77
  5. Step 5: Solve for x
    x = 19,201,031.77/6,565.92
  6. Step 6: Final answer
    x = 2,924.35

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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.