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Finding the Fourth Proportional to 21,982.46, 32,950.46 and 7,187.40

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Solution

The fourth proportional to 21,982.46, 32,950.46 and 7,187.40 is: 10,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.46 : 32,950.46 = 7,187.40 : x
  2. Step 2: Convert to fraction form
    21,982.46/32,950.46 = 7,187.40/x
  3. Step 3: Cross multiply
    21,982.46x = 32,950.46 × 7,187.40
  4. Step 4: Simplify right side
    21,982.46x = 236,828,136.20
  5. Step 5: Solve for x
    x = 236,828,136.20/21,982.46
  6. Step 6: Final answer
    x = 10,773.50

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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.