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Finding the Fourth Proportional to 7,053.96, 9,712.31 and 5,989.51

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Solution

The fourth proportional to 7,053.96, 9,712.31 and 5,989.51 is: 8,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.96 : 9,712.31 = 5,989.51 : x
  2. Step 2: Convert to fraction form
    7,053.96/9,712.31 = 5,989.51/x
  3. Step 3: Cross multiply
    7,053.96x = 9,712.31 × 5,989.51
  4. Step 4: Simplify right side
    7,053.96x = 58,171,977.87
  5. Step 5: Solve for x
    x = 58,171,977.87/7,053.96
  6. Step 6: Final answer
    x = 8,246.71

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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.