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Finding the Fourth Proportional to 9,773.54, 13,487.50 and 5,297.27

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Solution

The fourth proportional to 9,773.54, 13,487.50 and 5,297.27 is: 7,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.54 : 13,487.50 = 5,297.27 : x
  2. Step 2: Convert to fraction form
    9,773.54/13,487.50 = 5,297.27/x
  3. Step 3: Cross multiply
    9,773.54x = 13,487.50 × 5,297.27
  4. Step 4: Simplify right side
    9,773.54x = 71,446,949.60
  5. Step 5: Solve for x
    x = 71,446,949.60/9,773.54
  6. Step 6: Final answer
    x = 7,310.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.