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Finding the Fourth Proportional to 35,969.40, 53,954 and 9,674.14

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Solution

The fourth proportional to 35,969.40, 53,954 and 9,674.14 is: 14,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969.40 : 53,954 = 9,674.14 : x
  2. Step 2: Convert to fraction form
    35,969.40/53,954 = 9,674.14/x
  3. Step 3: Cross multiply
    35,969.40x = 53,954 × 9,674.14
  4. Step 4: Simplify right side
    35,969.40x = 521,958,549.56
  5. Step 5: Solve for x
    x = 521,958,549.56/35,969.40
  6. Step 6: Final answer
    x = 14,511.18

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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.