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Finding the Fourth Proportional to 9,874.02, 14,811.01 and 3,298.70

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Solution

The fourth proportional to 9,874.02, 14,811.01 and 3,298.70 is: 4,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.02 : 14,811.01 = 3,298.70 : x
  2. Step 2: Convert to fraction form
    9,874.02/14,811.01 = 3,298.70/x
  3. Step 3: Cross multiply
    9,874.02x = 14,811.01 × 3,298.70
  4. Step 4: Simplify right side
    9,874.02x = 48,857,078.69
  5. Step 5: Solve for x
    x = 48,857,078.69/9,874.02
  6. Step 6: Final answer
    x = 4,948.04

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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.