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Finding the Fourth Proportional to 11,583, 17,330.76 and 7,179.84

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Solution

The fourth proportional to 11,583, 17,330.76 and 7,179.84 is: 10,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 17,330.76 = 7,179.84 : x
  2. Step 2: Convert to fraction form
    11,583/17,330.76 = 7,179.84/x
  3. Step 3: Cross multiply
    11,583x = 17,330.76 × 7,179.84
  4. Step 4: Simplify right side
    11,583x = 124,432,083.88
  5. Step 5: Solve for x
    x = 124,432,083.88/11,583
  6. Step 6: Final answer
    x = 10,742.65

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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.