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Finding the Fourth Proportional to 9,762.82, 14,644.26 and 2,367.25

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Solution

The fourth proportional to 9,762.82, 14,644.26 and 2,367.25 is: 3,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.82 : 14,644.26 = 2,367.25 : x
  2. Step 2: Convert to fraction form
    9,762.82/14,644.26 = 2,367.25/x
  3. Step 3: Cross multiply
    9,762.82x = 14,644.26 × 2,367.25
  4. Step 4: Simplify right side
    9,762.82x = 34,666,587.87
  5. Step 5: Solve for x
    x = 34,666,587.87/9,762.82
  6. Step 6: Final answer
    x = 3,550.88

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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.