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Finding the Fourth Proportional to 9,874.08, 14,809.68 and 3,300.12

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Solution

The fourth proportional to 9,874.08, 14,809.68 and 3,300.12 is: 4,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.08 : 14,809.68 = 3,300.12 : x
  2. Step 2: Convert to fraction form
    9,874.08/14,809.68 = 3,300.12/x
  3. Step 3: Cross multiply
    9,874.08x = 14,809.68 × 3,300.12
  4. Step 4: Simplify right side
    9,874.08x = 48,873,721.16
  5. Step 5: Solve for x
    x = 48,873,721.16/9,874.08
  6. Step 6: Final answer
    x = 4,949.70

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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.