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Finding the Fourth Proportional to 14,000.30, 20,971.65 and 9,622.70

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Solution

The fourth proportional to 14,000.30, 20,971.65 and 9,622.70 is: 14,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.30 : 20,971.65 = 9,622.70 : x
  2. Step 2: Convert to fraction form
    14,000.30/20,971.65 = 9,622.70/x
  3. Step 3: Cross multiply
    14,000.30x = 20,971.65 × 9,622.70
  4. Step 4: Simplify right side
    14,000.30x = 201,803,896.46
  5. Step 5: Solve for x
    x = 201,803,896.46/14,000.30
  6. Step 6: Final answer
    x = 14,414.26

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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.