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Finding the Fourth Proportional to 9,993.47, 14,977.79 and 5,614.07

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Solution

The fourth proportional to 9,993.47, 14,977.79 and 5,614.07 is: 8,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.47 : 14,977.79 = 5,614.07 : x
  2. Step 2: Convert to fraction form
    9,993.47/14,977.79 = 5,614.07/x
  3. Step 3: Cross multiply
    9,993.47x = 14,977.79 × 5,614.07
  4. Step 4: Simplify right side
    9,993.47x = 84,086,333.43
  5. Step 5: Solve for x
    x = 84,086,333.43/9,993.47
  6. Step 6: Final answer
    x = 8,414.13

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1.5x scale

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.