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Finding the Fourth Proportional to 21,404.70, 32,107.05 and 9,740.70

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Solution

The fourth proportional to 21,404.70, 32,107.05 and 9,740.70 is: 14,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.70 : 32,107.05 = 9,740.70 : x
  2. Step 2: Convert to fraction form
    21,404.70/32,107.05 = 9,740.70/x
  3. Step 3: Cross multiply
    21,404.70x = 32,107.05 × 9,740.70
  4. Step 4: Simplify right side
    21,404.70x = 312,745,141.94
  5. Step 5: Solve for x
    x = 312,745,141.94/21,404.70
  6. Step 6: Final answer
    x = 14,611.05

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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.