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Finding the Fourth Proportional to 12,201.51, 18,302.27 and 4,801.93

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Solution

The fourth proportional to 12,201.51, 18,302.27 and 4,801.93 is: 7,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.51 : 18,302.27 = 4,801.93 : x
  2. Step 2: Convert to fraction form
    12,201.51/18,302.27 = 4,801.93/x
  3. Step 3: Cross multiply
    12,201.51x = 18,302.27 × 4,801.93
  4. Step 4: Simplify right side
    12,201.51x = 87,886,219.38
  5. Step 5: Solve for x
    x = 87,886,219.38/12,201.51
  6. Step 6: Final answer
    x = 7,202.90

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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.