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Finding the Fourth Proportional to 35,972.28, 53,958.24 and 9,318.24

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Solution

The fourth proportional to 35,972.28, 53,958.24 and 9,318.24 is: 13,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.28 : 53,958.24 = 9,318.24 : x
  2. Step 2: Convert to fraction form
    35,972.28/53,958.24 = 9,318.24/x
  3. Step 3: Cross multiply
    35,972.28x = 53,958.24 × 9,318.24
  4. Step 4: Simplify right side
    35,972.28x = 502,795,830.30
  5. Step 5: Solve for x
    x = 502,795,830.30/35,972.28
  6. Step 6: Final answer
    x = 13,977.31

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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.