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Finding the Fourth Proportional to 7,993.87, 11,031.32 and 4,636.47

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Solution

The fourth proportional to 7,993.87, 11,031.32 and 4,636.47 is: 6,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.87 : 11,031.32 = 4,636.47 : x
  2. Step 2: Convert to fraction form
    7,993.87/11,031.32 = 4,636.47/x
  3. Step 3: Cross multiply
    7,993.87x = 11,031.32 × 4,636.47
  4. Step 4: Simplify right side
    7,993.87x = 51,146,361.06
  5. Step 5: Solve for x
    x = 51,146,361.06/7,993.87
  6. Step 6: Final answer
    x = 6,398.20

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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.