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Finding the Fourth Proportional to 9,773.51, 13,487.39 and 5,297.21

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Solution

The fourth proportional to 9,773.51, 13,487.39 and 5,297.21 is: 7,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.51 : 13,487.39 = 5,297.21 : x
  2. Step 2: Convert to fraction form
    9,773.51/13,487.39 = 5,297.21/x
  3. Step 3: Cross multiply
    9,773.51x = 13,487.39 × 5,297.21
  4. Step 4: Simplify right side
    9,773.51x = 71,445,564.28
  5. Step 5: Solve for x
    x = 71,445,564.28/9,773.51
  6. Step 6: Final answer
    x = 7,310.12

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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.