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Finding the Fourth Proportional to 11,533.74, 17,294.46 and 5,973.30

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Solution

The fourth proportional to 11,533.74, 17,294.46 and 5,973.30 is: 8,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.74 : 17,294.46 = 5,973.30 : x
  2. Step 2: Convert to fraction form
    11,533.74/17,294.46 = 5,973.30/x
  3. Step 3: Cross multiply
    11,533.74x = 17,294.46 × 5,973.30
  4. Step 4: Simplify right side
    11,533.74x = 103,304,977.28
  5. Step 5: Solve for x
    x = 103,304,977.28/11,533.74
  6. Step 6: Final answer
    x = 8,956.76

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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.