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Finding the Fourth Proportional to 6,483.15, 8,946.38 and 3,830.81

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Solution

The fourth proportional to 6,483.15, 8,946.38 and 3,830.81 is: 5,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.15 : 8,946.38 = 3,830.81 : x
  2. Step 2: Convert to fraction form
    6,483.15/8,946.38 = 3,830.81/x
  3. Step 3: Cross multiply
    6,483.15x = 8,946.38 × 3,830.81
  4. Step 4: Simplify right side
    6,483.15x = 34,271,846.81
  5. Step 5: Solve for x
    x = 34,271,846.81/6,483.15
  6. Step 6: Final answer
    x = 5,286.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.