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Finding the Fourth Proportional to 9,796.82, 14,682.40 and 4,531.16

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Solution

The fourth proportional to 9,796.82, 14,682.40 and 4,531.16 is: 6,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.82 : 14,682.40 = 4,531.16 : x
  2. Step 2: Convert to fraction form
    9,796.82/14,682.40 = 4,531.16/x
  3. Step 3: Cross multiply
    9,796.82x = 14,682.40 × 4,531.16
  4. Step 4: Simplify right side
    9,796.82x = 66,528,328.96
  5. Step 5: Solve for x
    x = 66,528,328.96/9,796.82
  6. Step 6: Final answer
    x = 6,790.81

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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.