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Finding the Fourth Proportional to 10,584.22, 15,873.09 and 7,318.30

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Solution

The fourth proportional to 10,584.22, 15,873.09 and 7,318.30 is: 10,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.22 : 15,873.09 = 7,318.30 : x
  2. Step 2: Convert to fraction form
    10,584.22/15,873.09 = 7,318.30/x
  3. Step 3: Cross multiply
    10,584.22x = 15,873.09 × 7,318.30
  4. Step 4: Simplify right side
    10,584.22x = 116,163,997.96
  5. Step 5: Solve for x
    x = 116,163,997.96/10,584.22
  6. Step 6: Final answer
    x = 10,975.21

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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.