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Finding the Fourth Proportional to 9,993.70, 14,932.09 and 9,993.70

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Solution

The fourth proportional to 9,993.70, 14,932.09 and 9,993.70 is: 14,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.70 : 14,932.09 = 9,993.70 : x
  2. Step 2: Convert to fraction form
    9,993.70/14,932.09 = 9,993.70/x
  3. Step 3: Cross multiply
    9,993.70x = 14,932.09 × 9,993.70
  4. Step 4: Simplify right side
    9,993.70x = 149,226,827.83
  5. Step 5: Solve for x
    x = 149,226,827.83/9,993.70
  6. Step 6: Final answer
    x = 14,932.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.