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Finding the Fourth Proportional to 6,483.68, 9,725.85 and 3,154.99

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Solution

The fourth proportional to 6,483.68, 9,725.85 and 3,154.99 is: 4,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.68 : 9,725.85 = 3,154.99 : x
  2. Step 2: Convert to fraction form
    6,483.68/9,725.85 = 3,154.99/x
  3. Step 3: Cross multiply
    6,483.68x = 9,725.85 × 3,154.99
  4. Step 4: Simplify right side
    6,483.68x = 30,684,959.49
  5. Step 5: Solve for x
    x = 30,684,959.49/6,483.68
  6. Step 6: Final answer
    x = 4,732.65

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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.