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Finding the Fourth Proportional to 9,633.70, 14,445.08 and 3,787.12

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Solution

The fourth proportional to 9,633.70, 14,445.08 and 3,787.12 is: 5,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.70 : 14,445.08 = 3,787.12 : x
  2. Step 2: Convert to fraction form
    9,633.70/14,445.08 = 3,787.12/x
  3. Step 3: Cross multiply
    9,633.70x = 14,445.08 × 3,787.12
  4. Step 4: Simplify right side
    9,633.70x = 54,705,251.37
  5. Step 5: Solve for x
    x = 54,705,251.37/9,633.70
  6. Step 6: Final answer
    x = 5,678.53

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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.