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Finding the Fourth Proportional to 9,874.50, 14,814.10 and 2,949.18

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Solution

The fourth proportional to 9,874.50, 14,814.10 and 2,949.18 is: 4,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.50 : 14,814.10 = 2,949.18 : x
  2. Step 2: Convert to fraction form
    9,874.50/14,814.10 = 2,949.18/x
  3. Step 3: Cross multiply
    9,874.50x = 14,814.10 × 2,949.18
  4. Step 4: Simplify right side
    9,874.50x = 43,689,447.44
  5. Step 5: Solve for x
    x = 43,689,447.44/9,874.50
  6. Step 6: Final answer
    x = 4,424.47

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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.