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Finding the Fourth Proportional to 9,773.36, 13,487.20 and 5,297.22

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Solution

The fourth proportional to 9,773.36, 13,487.20 and 5,297.22 is: 7,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.36 : 13,487.20 = 5,297.22 : x
  2. Step 2: Convert to fraction form
    9,773.36/13,487.20 = 5,297.22/x
  3. Step 3: Cross multiply
    9,773.36x = 13,487.20 × 5,297.22
  4. Step 4: Simplify right side
    9,773.36x = 71,444,665.58
  5. Step 5: Solve for x
    x = 71,444,665.58/9,773.36
  6. Step 6: Final answer
    x = 7,310.14

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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.