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Finding the Fourth Proportional to 10,469.07, 15,708.99 and 5,788.21

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Solution

The fourth proportional to 10,469.07, 15,708.99 and 5,788.21 is: 8,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.07 : 15,708.99 = 5,788.21 : x
  2. Step 2: Convert to fraction form
    10,469.07/15,708.99 = 5,788.21/x
  3. Step 3: Cross multiply
    10,469.07x = 15,708.99 × 5,788.21
  4. Step 4: Simplify right side
    10,469.07x = 90,926,933.01
  5. Step 5: Solve for x
    x = 90,926,933.01/10,469.07
  6. Step 6: Final answer
    x = 8,685.29

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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.