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Finding the Fourth Proportional to 12,052.14, 16,629.09 and 7,013.31

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Solution

The fourth proportional to 12,052.14, 16,629.09 and 7,013.31 is: 9,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.14 : 16,629.09 = 7,013.31 : x
  2. Step 2: Convert to fraction form
    12,052.14/16,629.09 = 7,013.31/x
  3. Step 3: Cross multiply
    12,052.14x = 16,629.09 × 7,013.31
  4. Step 4: Simplify right side
    12,052.14x = 116,624,963.19
  5. Step 5: Solve for x
    x = 116,624,963.19/12,052.14
  6. Step 6: Final answer
    x = 9,676.70

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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.