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Finding the Fourth Proportional to 11,765.34, 17,648.62 and 5,191.58

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Solution

The fourth proportional to 11,765.34, 17,648.62 and 5,191.58 is: 7,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.34 : 17,648.62 = 5,191.58 : x
  2. Step 2: Convert to fraction form
    11,765.34/17,648.62 = 5,191.58/x
  3. Step 3: Cross multiply
    11,765.34x = 17,648.62 × 5,191.58
  4. Step 4: Simplify right side
    11,765.34x = 91,624,253.76
  5. Step 5: Solve for x
    x = 91,624,253.76/11,765.34
  6. Step 6: Final answer
    x = 7,787.64

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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.