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Finding the Fourth Proportional to 7,966.93, 10,993.29 and 4,429.46

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Solution

The fourth proportional to 7,966.93, 10,993.29 and 4,429.46 is: 6,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.93 : 10,993.29 = 4,429.46 : x
  2. Step 2: Convert to fraction form
    7,966.93/10,993.29 = 4,429.46/x
  3. Step 3: Cross multiply
    7,966.93x = 10,993.29 × 4,429.46
  4. Step 4: Simplify right side
    7,966.93x = 48,694,283.36
  5. Step 5: Solve for x
    x = 48,694,283.36/7,966.93
  6. Step 6: Final answer
    x = 6,112.05

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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.