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Finding the Fourth Proportional to 21,697.46, 32,546.73 and 6,114.50

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Solution

The fourth proportional to 21,697.46, 32,546.73 and 6,114.50 is: 9,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.46 : 32,546.73 = 6,114.50 : x
  2. Step 2: Convert to fraction form
    21,697.46/32,546.73 = 6,114.50/x
  3. Step 3: Cross multiply
    21,697.46x = 32,546.73 × 6,114.50
  4. Step 4: Simplify right side
    21,697.46x = 199,006,980.59
  5. Step 5: Solve for x
    x = 199,006,980.59/21,697.46
  6. Step 6: Final answer
    x = 9,171.90

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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.