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Finding the Fourth Proportional to 35,867.28, 53,800.74 and 9,213.24

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Solution

The fourth proportional to 35,867.28, 53,800.74 and 9,213.24 is: 13,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867.28 : 53,800.74 = 9,213.24 : x
  2. Step 2: Convert to fraction form
    35,867.28/53,800.74 = 9,213.24/x
  3. Step 3: Cross multiply
    35,867.28x = 53,800.74 × 9,213.24
  4. Step 4: Simplify right side
    35,867.28x = 495,679,129.80
  5. Step 5: Solve for x
    x = 495,679,129.80/35,867.28
  6. Step 6: Final answer
    x = 13,819.81

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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.