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Finding the Fourth Proportional to 30,874.30, 46,311.57 and 7,500.74

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Solution

The fourth proportional to 30,874.30, 46,311.57 and 7,500.74 is: 11,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.30 : 46,311.57 = 7,500.74 : x
  2. Step 2: Convert to fraction form
    30,874.30/46,311.57 = 7,500.74/x
  3. Step 3: Cross multiply
    30,874.30x = 46,311.57 × 7,500.74
  4. Step 4: Simplify right side
    30,874.30x = 347,371,008.06
  5. Step 5: Solve for x
    x = 347,371,008.06/30,874.30
  6. Step 6: Final answer
    x = 11,251.14

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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.