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Finding the Fourth Proportional to 11,583, 17,375.40 and 4,657.56

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Solution

The fourth proportional to 11,583, 17,375.40 and 4,657.56 is: 6,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 17,375.40 = 4,657.56 : x
  2. Step 2: Convert to fraction form
    11,583/17,375.40 = 4,657.56/x
  3. Step 3: Cross multiply
    11,583x = 17,375.40 × 4,657.56
  4. Step 4: Simplify right side
    11,583x = 80,926,968.02
  5. Step 5: Solve for x
    x = 80,926,968.02/11,583
  6. Step 6: Final answer
    x = 6,986.70

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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.