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Finding the Fourth Proportional to 30,683.42, 46,025.12 and 8,496.78

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Solution

The fourth proportional to 30,683.42, 46,025.12 and 8,496.78 is: 12,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.42 : 46,025.12 = 8,496.78 : x
  2. Step 2: Convert to fraction form
    30,683.42/46,025.12 = 8,496.78/x
  3. Step 3: Cross multiply
    30,683.42x = 46,025.12 × 8,496.78
  4. Step 4: Simplify right side
    30,683.42x = 391,065,276.63
  5. Step 5: Solve for x
    x = 391,065,276.63/30,683.42
  6. Step 6: Final answer
    x = 12,745.17

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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.