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Finding the Fourth Proportional to 30,922.67, 46,378.68 and 8,730.87

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Solution

The fourth proportional to 30,922.67, 46,378.68 and 8,730.87 is: 13,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.67 : 46,378.68 = 8,730.87 : x
  2. Step 2: Convert to fraction form
    30,922.67/46,378.68 = 8,730.87/x
  3. Step 3: Cross multiply
    30,922.67x = 46,378.68 × 8,730.87
  4. Step 4: Simplify right side
    30,922.67x = 404,926,019.19
  5. Step 5: Solve for x
    x = 404,926,019.19/30,922.67
  6. Step 6: Final answer
    x = 13,094.79

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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.