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Finding the Fourth Proportional to 9,762.22, 14,644.23 and 3,188.44

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Solution

The fourth proportional to 9,762.22, 14,644.23 and 3,188.44 is: 4,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.22 : 14,644.23 = 3,188.44 : x
  2. Step 2: Convert to fraction form
    9,762.22/14,644.23 = 3,188.44/x
  3. Step 3: Cross multiply
    9,762.22x = 14,644.23 × 3,188.44
  4. Step 4: Simplify right side
    9,762.22x = 46,692,248.70
  5. Step 5: Solve for x
    x = 46,692,248.70/9,762.22
  6. Step 6: Final answer
    x = 4,782.95

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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.