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Finding the Fourth Proportional to 6,483.24, 9,711.36 and 3,884.76

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Solution

The fourth proportional to 6,483.24, 9,711.36 and 3,884.76 is: 5,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.24 : 9,711.36 = 3,884.76 : x
  2. Step 2: Convert to fraction form
    6,483.24/9,711.36 = 3,884.76/x
  3. Step 3: Cross multiply
    6,483.24x = 9,711.36 × 3,884.76
  4. Step 4: Simplify right side
    6,483.24x = 37,726,302.87
  5. Step 5: Solve for x
    x = 37,726,302.87/6,483.24
  6. Step 6: Final answer
    x = 5,819.05

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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.