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Finding the Fourth Proportional to 9,741.65, 14,625.05 and 8,363.84

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Solution

The fourth proportional to 9,741.65, 14,625.05 and 8,363.84 is: 12,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.65 : 14,625.05 = 8,363.84 : x
  2. Step 2: Convert to fraction form
    9,741.65/14,625.05 = 8,363.84/x
  3. Step 3: Cross multiply
    9,741.65x = 14,625.05 × 8,363.84
  4. Step 4: Simplify right side
    9,741.65x = 122,321,463.25
  5. Step 5: Solve for x
    x = 122,321,463.25/9,741.65
  6. Step 6: Final answer
    x = 12,556.55

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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.