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Finding the Fourth Proportional to 12,032.70, 18,051.03 and 3,712.44

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Solution

The fourth proportional to 12,032.70, 18,051.03 and 3,712.44 is: 5,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.70 : 18,051.03 = 3,712.44 : x
  2. Step 2: Convert to fraction form
    12,032.70/18,051.03 = 3,712.44/x
  3. Step 3: Cross multiply
    12,032.70x = 18,051.03 × 3,712.44
  4. Step 4: Simplify right side
    12,032.70x = 67,013,365.81
  5. Step 5: Solve for x
    x = 67,013,365.81/12,032.70
  6. Step 6: Final answer
    x = 5,569.27

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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.