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Finding the Fourth Proportional to 8,946, 13,414.08 and 4,020.48

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Solution

The fourth proportional to 8,946, 13,414.08 and 4,020.48 is: 6,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 13,414.08 = 4,020.48 : x
  2. Step 2: Convert to fraction form
    8,946/13,414.08 = 4,020.48/x
  3. Step 3: Cross multiply
    8,946x = 13,414.08 × 4,020.48
  4. Step 4: Simplify right side
    8,946x = 53,931,040.36
  5. Step 5: Solve for x
    x = 53,931,040.36/8,946
  6. Step 6: Final answer
    x = 6,028.51

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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.