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Finding the Fourth Proportional to 10,693.24, 16,040.22 and 2,902.24

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Solution

The fourth proportional to 10,693.24, 16,040.22 and 2,902.24 is: 4,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.24 : 16,040.22 = 2,902.24 : x
  2. Step 2: Convert to fraction form
    10,693.24/16,040.22 = 2,902.24/x
  3. Step 3: Cross multiply
    10,693.24x = 16,040.22 × 2,902.24
  4. Step 4: Simplify right side
    10,693.24x = 46,552,568.09
  5. Step 5: Solve for x
    x = 46,552,568.09/10,693.24
  6. Step 6: Final answer
    x = 4,353.46

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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.