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Finding the Fourth Proportional to 9,763.86, 14,636.92 and 3,522.44

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Solution

The fourth proportional to 9,763.86, 14,636.92 and 3,522.44 is: 5,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.86 : 14,636.92 = 3,522.44 : x
  2. Step 2: Convert to fraction form
    9,763.86/14,636.92 = 3,522.44/x
  3. Step 3: Cross multiply
    9,763.86x = 14,636.92 × 3,522.44
  4. Step 4: Simplify right side
    9,763.86x = 51,557,672.48
  5. Step 5: Solve for x
    x = 51,557,672.48/9,763.86
  6. Step 6: Final answer
    x = 5,280.46

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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.