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Finding the Fourth Proportional to 28,693.96, 43,040.96 and 10,213

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Solution

The fourth proportional to 28,693.96, 43,040.96 and 10,213 is: 15,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,693.96 : 43,040.96 = 10,213 : x
  2. Step 2: Convert to fraction form
    28,693.96/43,040.96 = 10,213/x
  3. Step 3: Cross multiply
    28,693.96x = 43,040.96 × 10,213
  4. Step 4: Simplify right side
    28,693.96x = 439,577,324.48
  5. Step 5: Solve for x
    x = 439,577,324.48/28,693.96
  6. Step 6: Final answer
    x = 15,319.51

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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.